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Finding the Fourth Proportional to 725.55, 1,000.47 and 539.39

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Solution

The fourth proportional to 725.55, 1,000.47 and 539.39 is: 743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.55 : 1,000.47 = 539.39 : x
  2. Step 2: Convert to fraction form
    725.55/1,000.47 = 539.39/x
  3. Step 3: Cross multiply
    725.55x = 1,000.47 × 539.39
  4. Step 4: Simplify right side
    725.55x = 539,643.51
  5. Step 5: Solve for x
    x = 539,643.51/725.55
  6. Step 6: Final answer
    x = 743.77

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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.