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Finding the Fourth Proportional to 725.66, 1,088.49 and 292.71

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Solution

The fourth proportional to 725.66, 1,088.49 and 292.71 is: 439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.66 : 1,088.49 = 292.71 : x
  2. Step 2: Convert to fraction form
    725.66/1,088.49 = 292.71/x
  3. Step 3: Cross multiply
    725.66x = 1,088.49 × 292.71
  4. Step 4: Simplify right side
    725.66x = 318,615.44
  5. Step 5: Solve for x
    x = 318,615.44/725.66
  6. Step 6: Final answer
    x = 439.07

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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.