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Finding the Fourth Proportional to 1,337.89, 1,845.31 and 966.10

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Solution

The fourth proportional to 1,337.89, 1,845.31 and 966.10 is: 1,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.89 : 1,845.31 = 966.10 : x
  2. Step 2: Convert to fraction form
    1,337.89/1,845.31 = 966.10/x
  3. Step 3: Cross multiply
    1,337.89x = 1,845.31 × 966.10
  4. Step 4: Simplify right side
    1,337.89x = 1,782,753.99
  5. Step 5: Solve for x
    x = 1,782,753.99/1,337.89
  6. Step 6: Final answer
    x = 1,332.51

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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.