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Finding the Fourth Proportional to 725.52, 1,088.37 and 314.58

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Solution

The fourth proportional to 725.52, 1,088.37 and 314.58 is: 471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.52 : 1,088.37 = 314.58 : x
  2. Step 2: Convert to fraction form
    725.52/1,088.37 = 314.58/x
  3. Step 3: Cross multiply
    725.52x = 1,088.37 × 314.58
  4. Step 4: Simplify right side
    725.52x = 342,379.43
  5. Step 5: Solve for x
    x = 342,379.43/725.52
  6. Step 6: Final answer
    x = 471.91

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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.