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Finding the Fourth Proportional to 1,337.31, 1,845.54 and 778.14

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Solution

The fourth proportional to 1,337.31, 1,845.54 and 778.14 is: 1,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.31 : 1,845.54 = 778.14 : x
  2. Step 2: Convert to fraction form
    1,337.31/1,845.54 = 778.14/x
  3. Step 3: Cross multiply
    1,337.31x = 1,845.54 × 778.14
  4. Step 4: Simplify right side
    1,337.31x = 1,436,088.50
  5. Step 5: Solve for x
    x = 1,436,088.50/1,337.31
  6. Step 6: Final answer
    x = 1,073.86

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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.