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Finding the Fourth Proportional to 1,035.14, 1,551.97 and 487.04

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Solution

The fourth proportional to 1,035.14, 1,551.97 and 487.04 is: 730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.14 : 1,551.97 = 487.04 : x
  2. Step 2: Convert to fraction form
    1,035.14/1,551.97 = 487.04/x
  3. Step 3: Cross multiply
    1,035.14x = 1,551.97 × 487.04
  4. Step 4: Simplify right side
    1,035.14x = 755,862.49
  5. Step 5: Solve for x
    x = 755,862.49/1,035.14
  6. Step 6: Final answer
    x = 730.21

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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.