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Finding the Fourth Proportional to 725.60, 1,088.49 and 314.73

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Solution

The fourth proportional to 725.60, 1,088.49 and 314.73 is: 472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.60 : 1,088.49 = 314.73 : x
  2. Step 2: Convert to fraction form
    725.60/1,088.49 = 314.73/x
  3. Step 3: Cross multiply
    725.60x = 1,088.49 × 314.73
  4. Step 4: Simplify right side
    725.60x = 342,580.46
  5. Step 5: Solve for x
    x = 342,580.46/725.60
  6. Step 6: Final answer
    x = 472.14

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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.