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Finding the Fourth Proportional to 874.42, 1,206.69 and 542.86

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Solution

The fourth proportional to 874.42, 1,206.69 and 542.86 is: 749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.42 : 1,206.69 = 542.86 : x
  2. Step 2: Convert to fraction form
    874.42/1,206.69 = 542.86/x
  3. Step 3: Cross multiply
    874.42x = 1,206.69 × 542.86
  4. Step 4: Simplify right side
    874.42x = 655,063.73
  5. Step 5: Solve for x
    x = 655,063.73/874.42
  6. Step 6: Final answer
    x = 749.14

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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.