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Finding the Fourth Proportional to 974.14, 1,460.72 and 426.08

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Solution

The fourth proportional to 974.14, 1,460.72 and 426.08 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,460.72 = 426.08 : x
  2. Step 2: Convert to fraction form
    974.14/1,460.72 = 426.08/x
  3. Step 3: Cross multiply
    974.14x = 1,460.72 × 426.08
  4. Step 4: Simplify right side
    974.14x = 622,383.58
  5. Step 5: Solve for x
    x = 622,383.58/974.14
  6. Step 6: Final answer
    x = 638.91

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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.