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Finding the Fourth Proportional to 974.74, 1,463.02 and 397.66

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Solution

The fourth proportional to 974.74, 1,463.02 and 397.66 is: 596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.74 : 1,463.02 = 397.66 : x
  2. Step 2: Convert to fraction form
    974.74/1,463.02 = 397.66/x
  3. Step 3: Cross multiply
    974.74x = 1,463.02 × 397.66
  4. Step 4: Simplify right side
    974.74x = 581,784.53
  5. Step 5: Solve for x
    x = 581,784.53/974.74
  6. Step 6: Final answer
    x = 596.86

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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.