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Finding the Fourth Proportional to 974.98, 1,462.65 and 610.21

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Solution

The fourth proportional to 974.98, 1,462.65 and 610.21 is: 915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.98 : 1,462.65 = 610.21 : x
  2. Step 2: Convert to fraction form
    974.98/1,462.65 = 610.21/x
  3. Step 3: Cross multiply
    974.98x = 1,462.65 × 610.21
  4. Step 4: Simplify right side
    974.98x = 892,523.66
  5. Step 5: Solve for x
    x = 892,523.66/974.98
  6. Step 6: Final answer
    x = 915.43

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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.