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Finding the Fourth Proportional to 725.72, 1,088.22 and 292.82

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Solution

The fourth proportional to 725.72, 1,088.22 and 292.82 is: 439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.72 : 1,088.22 = 292.82 : x
  2. Step 2: Convert to fraction form
    725.72/1,088.22 = 292.82/x
  3. Step 3: Cross multiply
    725.72x = 1,088.22 × 292.82
  4. Step 4: Simplify right side
    725.72x = 318,652.58
  5. Step 5: Solve for x
    x = 318,652.58/725.72
  6. Step 6: Final answer
    x = 439.08

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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.