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Finding the Fourth Proportional to 1,046.24, 1,569.90 and 614.24

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Solution

The fourth proportional to 1,046.24, 1,569.90 and 614.24 is: 921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.24 : 1,569.90 = 614.24 : x
  2. Step 2: Convert to fraction form
    1,046.24/1,569.90 = 614.24/x
  3. Step 3: Cross multiply
    1,046.24x = 1,569.90 × 614.24
  4. Step 4: Simplify right side
    1,046.24x = 964,295.38
  5. Step 5: Solve for x
    x = 964,295.38/1,046.24
  6. Step 6: Final answer
    x = 921.68

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