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Finding the Fourth Proportional to 1,010.24, 1,515.57 and 424.90

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Solution

The fourth proportional to 1,010.24, 1,515.57 and 424.90 is: 637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.24 : 1,515.57 = 424.90 : x
  2. Step 2: Convert to fraction form
    1,010.24/1,515.57 = 424.90/x
  3. Step 3: Cross multiply
    1,010.24x = 1,515.57 × 424.90
  4. Step 4: Simplify right side
    1,010.24x = 643,965.69
  5. Step 5: Solve for x
    x = 643,965.69/1,010.24
  6. Step 6: Final answer
    x = 637.44

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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.