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Finding the Fourth Proportional to 702.48, 1,053.90 and 269.70

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Solution

The fourth proportional to 702.48, 1,053.90 and 269.70 is: 404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.48 : 1,053.90 = 269.70 : x
  2. Step 2: Convert to fraction form
    702.48/1,053.90 = 269.70/x
  3. Step 3: Cross multiply
    702.48x = 1,053.90 × 269.70
  4. Step 4: Simplify right side
    702.48x = 284,236.83
  5. Step 5: Solve for x
    x = 284,236.83/702.48
  6. Step 6: Final answer
    x = 404.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.