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Finding the Fourth Proportional to 1,337.92, 1,845.89 and 778.11

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Solution

The fourth proportional to 1,337.92, 1,845.89 and 778.11 is: 1,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.92 : 1,845.89 = 778.11 : x
  2. Step 2: Convert to fraction form
    1,337.92/1,845.89 = 778.11/x
  3. Step 3: Cross multiply
    1,337.92x = 1,845.89 × 778.11
  4. Step 4: Simplify right side
    1,337.92x = 1,436,297.57
  5. Step 5: Solve for x
    x = 1,436,297.57/1,337.92
  6. Step 6: Final answer
    x = 1,073.53

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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.