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Finding the Fourth Proportional to 1,183.11, 1,774.67 and 533.67

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Solution

The fourth proportional to 1,183.11, 1,774.67 and 533.67 is: 800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.11 : 1,774.67 = 533.67 : x
  2. Step 2: Convert to fraction form
    1,183.11/1,774.67 = 533.67/x
  3. Step 3: Cross multiply
    1,183.11x = 1,774.67 × 533.67
  4. Step 4: Simplify right side
    1,183.11x = 947,085.47
  5. Step 5: Solve for x
    x = 947,085.47/1,183.11
  6. Step 6: Final answer
    x = 800.51

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Double scale
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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.