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Finding the Fourth Proportional to 725.69, 1,088.06 and 378.61

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Solution

The fourth proportional to 725.69, 1,088.06 and 378.61 is: 567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.69 : 1,088.06 = 378.61 : x
  2. Step 2: Convert to fraction form
    725.69/1,088.06 = 378.61/x
  3. Step 3: Cross multiply
    725.69x = 1,088.06 × 378.61
  4. Step 4: Simplify right side
    725.69x = 411,945.78
  5. Step 5: Solve for x
    x = 411,945.78/725.69
  6. Step 6: Final answer
    x = 567.66

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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.