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Finding the Fourth Proportional to 717.92, 1,077.70 and 285.38

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Solution

The fourth proportional to 717.92, 1,077.70 and 285.38 is: 428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.92 : 1,077.70 = 285.38 : x
  2. Step 2: Convert to fraction form
    717.92/1,077.70 = 285.38/x
  3. Step 3: Cross multiply
    717.92x = 1,077.70 × 285.38
  4. Step 4: Simplify right side
    717.92x = 307,554.03
  5. Step 5: Solve for x
    x = 307,554.03/717.92
  6. Step 6: Final answer
    x = 428.40

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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.