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Finding the Fourth Proportional to 725.27, 1,088.15 and 314.35

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Solution

The fourth proportional to 725.27, 1,088.15 and 314.35 is: 471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.27 : 1,088.15 = 314.35 : x
  2. Step 2: Convert to fraction form
    725.27/1,088.15 = 314.35/x
  3. Step 3: Cross multiply
    725.27x = 1,088.15 × 314.35
  4. Step 4: Simplify right side
    725.27x = 342,058.75
  5. Step 5: Solve for x
    x = 342,058.75/725.27
  6. Step 6: Final answer
    x = 471.63

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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.