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Finding the Fourth Proportional to 974.38, 1,461.15 and 426.91

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Solution

The fourth proportional to 974.38, 1,461.15 and 426.91 is: 640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.38 : 1,461.15 = 426.91 : x
  2. Step 2: Convert to fraction form
    974.38/1,461.15 = 426.91/x
  3. Step 3: Cross multiply
    974.38x = 1,461.15 × 426.91
  4. Step 4: Simplify right side
    974.38x = 623,779.55
  5. Step 5: Solve for x
    x = 623,779.55/974.38
  6. Step 6: Final answer
    x = 640.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.