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Finding the Fourth Proportional to 725.16, 999.96 and 567.52

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Solution

The fourth proportional to 725.16, 999.96 and 567.52 is: 782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.16 : 999.96 = 567.52 : x
  2. Step 2: Convert to fraction form
    725.16/999.96 = 567.52/x
  3. Step 3: Cross multiply
    725.16x = 999.96 × 567.52
  4. Step 4: Simplify right side
    725.16x = 567,497.30
  5. Step 5: Solve for x
    x = 567,497.30/725.16
  6. Step 6: Final answer
    x = 782.58

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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.