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Finding the Fourth Proportional to 974.90, 1,461.11 and 426.93

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Solution

The fourth proportional to 974.90, 1,461.11 and 426.93 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.90 : 1,461.11 = 426.93 : x
  2. Step 2: Convert to fraction form
    974.90/1,461.11 = 426.93/x
  3. Step 3: Cross multiply
    974.90x = 1,461.11 × 426.93
  4. Step 4: Simplify right side
    974.90x = 623,789.56
  5. Step 5: Solve for x
    x = 623,789.56/974.90
  6. Step 6: Final answer
    x = 639.85

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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.