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Finding the Fourth Proportional to 974.58, 1,462.12 and 542.04

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Solution

The fourth proportional to 974.58, 1,462.12 and 542.04 is: 813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.58 : 1,462.12 = 542.04 : x
  2. Step 2: Convert to fraction form
    974.58/1,462.12 = 542.04/x
  3. Step 3: Cross multiply
    974.58x = 1,462.12 × 542.04
  4. Step 4: Simplify right side
    974.58x = 792,527.52
  5. Step 5: Solve for x
    x = 792,527.52/974.58
  6. Step 6: Final answer
    x = 813.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.