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Finding the Fourth Proportional to 974.53, 1,460.97 and 426.29

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Solution

The fourth proportional to 974.53, 1,460.97 and 426.29 is: 639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.53 : 1,460.97 = 426.29 : x
  2. Step 2: Convert to fraction form
    974.53/1,460.97 = 426.29/x
  3. Step 3: Cross multiply
    974.53x = 1,460.97 × 426.29
  4. Step 4: Simplify right side
    974.53x = 622,794.77
  5. Step 5: Solve for x
    x = 622,794.77/974.53
  6. Step 6: Final answer
    x = 639.08

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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.