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Finding the Fourth Proportional to 701.92, 1,053.12 and 269.14

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Solution

The fourth proportional to 701.92, 1,053.12 and 269.14 is: 403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.92 : 1,053.12 = 269.14 : x
  2. Step 2: Convert to fraction form
    701.92/1,053.12 = 269.14/x
  3. Step 3: Cross multiply
    701.92x = 1,053.12 × 269.14
  4. Step 4: Simplify right side
    701.92x = 283,436.72
  5. Step 5: Solve for x
    x = 283,436.72/701.92
  6. Step 6: Final answer
    x = 403.80

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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.