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Finding the Fourth Proportional to 725.88, 1,088.73 and 292.71

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Solution

The fourth proportional to 725.88, 1,088.73 and 292.71 is: 439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.88 : 1,088.73 = 292.71 : x
  2. Step 2: Convert to fraction form
    725.88/1,088.73 = 292.71/x
  3. Step 3: Cross multiply
    725.88x = 1,088.73 × 292.71
  4. Step 4: Simplify right side
    725.88x = 318,682.16
  5. Step 5: Solve for x
    x = 318,682.16/725.88
  6. Step 6: Final answer
    x = 439.03

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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.