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Finding the Fourth Proportional to 1,024.27, 1,535.52 and 476.17

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Solution

The fourth proportional to 1,024.27, 1,535.52 and 476.17 is: 713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.27 : 1,535.52 = 476.17 : x
  2. Step 2: Convert to fraction form
    1,024.27/1,535.52 = 476.17/x
  3. Step 3: Cross multiply
    1,024.27x = 1,535.52 × 476.17
  4. Step 4: Simplify right side
    1,024.27x = 731,168.56
  5. Step 5: Solve for x
    x = 731,168.56/1,024.27
  6. Step 6: Final answer
    x = 713.84

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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.