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Finding the Fourth Proportional to 974.17, 1,460.46 and 665.24

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Solution

The fourth proportional to 974.17, 1,460.46 and 665.24 is: 997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.17 : 1,460.46 = 665.24 : x
  2. Step 2: Convert to fraction form
    974.17/1,460.46 = 665.24/x
  3. Step 3: Cross multiply
    974.17x = 1,460.46 × 665.24
  4. Step 4: Simplify right side
    974.17x = 971,556.41
  5. Step 5: Solve for x
    x = 971,556.41/974.17
  6. Step 6: Final answer
    x = 997.32

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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.