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Finding the Fourth Proportional to 974.86, 1,344.80 and 660.14

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Solution

The fourth proportional to 974.86, 1,344.80 and 660.14 is: 910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.86 : 1,344.80 = 660.14 : x
  2. Step 2: Convert to fraction form
    974.86/1,344.80 = 660.14/x
  3. Step 3: Cross multiply
    974.86x = 1,344.80 × 660.14
  4. Step 4: Simplify right side
    974.86x = 887,756.27
  5. Step 5: Solve for x
    x = 887,756.27/974.86
  6. Step 6: Final answer
    x = 910.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.