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Finding the Fourth Proportional to 974.70, 1,462.08 and 426.54

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Solution

The fourth proportional to 974.70, 1,462.08 and 426.54 is: 639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.70 : 1,462.08 = 426.54 : x
  2. Step 2: Convert to fraction form
    974.70/1,462.08 = 426.54/x
  3. Step 3: Cross multiply
    974.70x = 1,462.08 × 426.54
  4. Step 4: Simplify right side
    974.70x = 623,635.60
  5. Step 5: Solve for x
    x = 623,635.60/974.70
  6. Step 6: Final answer
    x = 639.82

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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.