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Finding the Fourth Proportional to 1,337.43, 1,845.68 and 778.06

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Solution

The fourth proportional to 1,337.43, 1,845.68 and 778.06 is: 1,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.43 : 1,845.68 = 778.06 : x
  2. Step 2: Convert to fraction form
    1,337.43/1,845.68 = 778.06/x
  3. Step 3: Cross multiply
    1,337.43x = 1,845.68 × 778.06
  4. Step 4: Simplify right side
    1,337.43x = 1,436,049.78
  5. Step 5: Solve for x
    x = 1,436,049.78/1,337.43
  6. Step 6: Final answer
    x = 1,073.74

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Why These Related Problems?

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