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Finding the Fourth Proportional to 974.76, 1,462.18 and 397.72

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Solution

The fourth proportional to 974.76, 1,462.18 and 397.72 is: 596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.76 : 1,462.18 = 397.72 : x
  2. Step 2: Convert to fraction form
    974.76/1,462.18 = 397.72/x
  3. Step 3: Cross multiply
    974.76x = 1,462.18 × 397.72
  4. Step 4: Simplify right side
    974.76x = 581,538.23
  5. Step 5: Solve for x
    x = 581,538.23/974.76
  6. Step 6: Final answer
    x = 596.60

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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.