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Finding the Fourth Proportional to 725.47, 1,088.38 and 263.17

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Solution

The fourth proportional to 725.47, 1,088.38 and 263.17 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.47 : 1,088.38 = 263.17 : x
  2. Step 2: Convert to fraction form
    725.47/1,088.38 = 263.17/x
  3. Step 3: Cross multiply
    725.47x = 1,088.38 × 263.17
  4. Step 4: Simplify right side
    725.47x = 286,428.96
  5. Step 5: Solve for x
    x = 286,428.96/725.47
  6. Step 6: Final answer
    x = 394.82

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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.