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Finding the Fourth Proportional to 974.85, 1,461.12 and 641.46

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Solution

The fourth proportional to 974.85, 1,461.12 and 641.46 is: 961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.85 : 1,461.12 = 641.46 : x
  2. Step 2: Convert to fraction form
    974.85/1,461.12 = 641.46/x
  3. Step 3: Cross multiply
    974.85x = 1,461.12 × 641.46
  4. Step 4: Simplify right side
    974.85x = 937,253.69
  5. Step 5: Solve for x
    x = 937,253.69/974.85
  6. Step 6: Final answer
    x = 961.44

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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.