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Finding the Fourth Proportional to 974.67, 1,461.20 and 426.69

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Solution

The fourth proportional to 974.67, 1,461.20 and 426.69 is: 639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.67 : 1,461.20 = 426.69 : x
  2. Step 2: Convert to fraction form
    974.67/1,461.20 = 426.69/x
  3. Step 3: Cross multiply
    974.67x = 1,461.20 × 426.69
  4. Step 4: Simplify right side
    974.67x = 623,477.29
  5. Step 5: Solve for x
    x = 623,477.29/974.67
  6. Step 6: Final answer
    x = 639.68

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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.