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Finding the Fourth Proportional to 974.90, 1,461.66 and 487.60

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Solution

The fourth proportional to 974.90, 1,461.66 and 487.60 is: 731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.90 : 1,461.66 = 487.60 : x
  2. Step 2: Convert to fraction form
    974.90/1,461.66 = 487.60/x
  3. Step 3: Cross multiply
    974.90x = 1,461.66 × 487.60
  4. Step 4: Simplify right side
    974.90x = 712,705.42
  5. Step 5: Solve for x
    x = 712,705.42/974.90
  6. Step 6: Final answer
    x = 731.05

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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.