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Finding the Fourth Proportional to 974.13, 1,459.16 and 454.58

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Solution

The fourth proportional to 974.13, 1,459.16 and 454.58 is: 680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.13 : 1,459.16 = 454.58 : x
  2. Step 2: Convert to fraction form
    974.13/1,459.16 = 454.58/x
  3. Step 3: Cross multiply
    974.13x = 1,459.16 × 454.58
  4. Step 4: Simplify right side
    974.13x = 663,304.95
  5. Step 5: Solve for x
    x = 663,304.95/974.13
  6. Step 6: Final answer
    x = 680.92

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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.