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Finding the Fourth Proportional to 874.20, 1,206.57 and 542.84

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Solution

The fourth proportional to 874.20, 1,206.57 and 542.84 is: 749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.20 : 1,206.57 = 542.84 : x
  2. Step 2: Convert to fraction form
    874.20/1,206.57 = 542.84/x
  3. Step 3: Cross multiply
    874.20x = 1,206.57 × 542.84
  4. Step 4: Simplify right side
    874.20x = 654,971.44
  5. Step 5: Solve for x
    x = 654,971.44/874.20
  6. Step 6: Final answer
    x = 749.23

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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.