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Finding the Fourth Proportional to 725.15, 1,087.80 and 416.41

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Solution

The fourth proportional to 725.15, 1,087.80 and 416.41 is: 624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.15 : 1,087.80 = 416.41 : x
  2. Step 2: Convert to fraction form
    725.15/1,087.80 = 416.41/x
  3. Step 3: Cross multiply
    725.15x = 1,087.80 × 416.41
  4. Step 4: Simplify right side
    725.15x = 452,966.52
  5. Step 5: Solve for x
    x = 452,966.52/725.15
  6. Step 6: Final answer
    x = 624.65

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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.