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Finding the Fourth Proportional to 702.96, 1,053.27 and 497.12

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Solution

The fourth proportional to 702.96, 1,053.27 and 497.12 is: 744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.96 : 1,053.27 = 497.12 : x
  2. Step 2: Convert to fraction form
    702.96/1,053.27 = 497.12/x
  3. Step 3: Cross multiply
    702.96x = 1,053.27 × 497.12
  4. Step 4: Simplify right side
    702.96x = 523,596.32
  5. Step 5: Solve for x
    x = 523,596.32/702.96
  6. Step 6: Final answer
    x = 744.85

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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.