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Finding the Fourth Proportional to 1,337.80, 1,846.10 and 748.32

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Solution

The fourth proportional to 1,337.80, 1,846.10 and 748.32 is: 1,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.80 : 1,846.10 = 748.32 : x
  2. Step 2: Convert to fraction form
    1,337.80/1,846.10 = 748.32/x
  3. Step 3: Cross multiply
    1,337.80x = 1,846.10 × 748.32
  4. Step 4: Simplify right side
    1,337.80x = 1,381,473.55
  5. Step 5: Solve for x
    x = 1,381,473.55/1,337.80
  6. Step 6: Final answer
    x = 1,032.65

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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.