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Finding the Fourth Proportional to 1,337.36, 1,845.72 and 747.95

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Solution

The fourth proportional to 1,337.36, 1,845.72 and 747.95 is: 1,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.36 : 1,845.72 = 747.95 : x
  2. Step 2: Convert to fraction form
    1,337.36/1,845.72 = 747.95/x
  3. Step 3: Cross multiply
    1,337.36x = 1,845.72 × 747.95
  4. Step 4: Simplify right side
    1,337.36x = 1,380,497.05
  5. Step 5: Solve for x
    x = 1,380,497.05/1,337.36
  6. Step 6: Final answer
    x = 1,032.26

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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.