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Finding the Fourth Proportional to 875.12, 1,207.28 and 542.88

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Solution

The fourth proportional to 875.12, 1,207.28 and 542.88 is: 748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.12 : 1,207.28 = 542.88 : x
  2. Step 2: Convert to fraction form
    875.12/1,207.28 = 542.88/x
  3. Step 3: Cross multiply
    875.12x = 1,207.28 × 542.88
  4. Step 4: Simplify right side
    875.12x = 655,408.17
  5. Step 5: Solve for x
    x = 655,408.17/875.12
  6. Step 6: Final answer
    x = 748.94

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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.