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Finding the Fourth Proportional to 1,183.96, 1,775.44 and 414.28

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Solution

The fourth proportional to 1,183.96, 1,775.44 and 414.28 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.96 : 1,775.44 = 414.28 : x
  2. Step 2: Convert to fraction form
    1,183.96/1,775.44 = 414.28/x
  3. Step 3: Cross multiply
    1,183.96x = 1,775.44 × 414.28
  4. Step 4: Simplify right side
    1,183.96x = 735,529.28
  5. Step 5: Solve for x
    x = 735,529.28/1,183.96
  6. Step 6: Final answer
    x = 621.25

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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.