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Finding the Fourth Proportional to 929.24, 1,281.87 and 614.16

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Solution

The fourth proportional to 929.24, 1,281.87 and 614.16 is: 847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.24 : 1,281.87 = 614.16 : x
  2. Step 2: Convert to fraction form
    929.24/1,281.87 = 614.16/x
  3. Step 3: Cross multiply
    929.24x = 1,281.87 × 614.16
  4. Step 4: Simplify right side
    929.24x = 787,273.28
  5. Step 5: Solve for x
    x = 787,273.28/929.24
  6. Step 6: Final answer
    x = 847.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.