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Finding the Fourth Proportional to 702.72, 1,052.46 and 557.46

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Solution

The fourth proportional to 702.72, 1,052.46 and 557.46 is: 834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.72 : 1,052.46 = 557.46 : x
  2. Step 2: Convert to fraction form
    702.72/1,052.46 = 557.46/x
  3. Step 3: Cross multiply
    702.72x = 1,052.46 × 557.46
  4. Step 4: Simplify right side
    702.72x = 586,704.35
  5. Step 5: Solve for x
    x = 586,704.35/702.72
  6. Step 6: Final answer
    x = 834.90

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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.