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Finding the Fourth Proportional to 725.75, 1,000.88 and 539.71

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Solution

The fourth proportional to 725.75, 1,000.88 and 539.71 is: 744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.75 : 1,000.88 = 539.71 : x
  2. Step 2: Convert to fraction form
    725.75/1,000.88 = 539.71/x
  3. Step 3: Cross multiply
    725.75x = 1,000.88 × 539.71
  4. Step 4: Simplify right side
    725.75x = 540,179.74
  5. Step 5: Solve for x
    x = 540,179.74/725.75
  6. Step 6: Final answer
    x = 744.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.