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Finding the Fourth Proportional to 1,183.56, 1,774.56 and 567.24

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Solution

The fourth proportional to 1,183.56, 1,774.56 and 567.24 is: 850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.56 : 1,774.56 = 567.24 : x
  2. Step 2: Convert to fraction form
    1,183.56/1,774.56 = 567.24/x
  3. Step 3: Cross multiply
    1,183.56x = 1,774.56 × 567.24
  4. Step 4: Simplify right side
    1,183.56x = 1,006,601.41
  5. Step 5: Solve for x
    x = 1,006,601.41/1,183.56
  6. Step 6: Final answer
    x = 850.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,184.56, 1,776.06 and 568.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.