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Finding the Fourth Proportional to 974.13, 1,461.03 and 315.92

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Solution

The fourth proportional to 974.13, 1,461.03 and 315.92 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.13 : 1,461.03 = 315.92 : x
  2. Step 2: Convert to fraction form
    974.13/1,461.03 = 315.92/x
  3. Step 3: Cross multiply
    974.13x = 1,461.03 × 315.92
  4. Step 4: Simplify right side
    974.13x = 461,568.60
  5. Step 5: Solve for x
    x = 461,568.60/974.13
  6. Step 6: Final answer
    x = 473.83

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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.