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Finding the Fourth Proportional to 974.10, 1,461.80 and 425.96

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Solution

The fourth proportional to 974.10, 1,461.80 and 425.96 is: 639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,461.80 = 425.96 : x
  2. Step 2: Convert to fraction form
    974.10/1,461.80 = 425.96/x
  3. Step 3: Cross multiply
    974.10x = 1,461.80 × 425.96
  4. Step 4: Simplify right side
    974.10x = 622,668.33
  5. Step 5: Solve for x
    x = 622,668.33/974.10
  6. Step 6: Final answer
    x = 639.23

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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.