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Finding the Fourth Proportional to 702.92, 1,053.62 and 269.98

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Solution

The fourth proportional to 702.92, 1,053.62 and 269.98 is: 404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.92 : 1,053.62 = 269.98 : x
  2. Step 2: Convert to fraction form
    702.92/1,053.62 = 269.98/x
  3. Step 3: Cross multiply
    702.92x = 1,053.62 × 269.98
  4. Step 4: Simplify right side
    702.92x = 284,456.33
  5. Step 5: Solve for x
    x = 284,456.33/702.92
  6. Step 6: Final answer
    x = 404.68

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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.