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Finding the Fourth Proportional to 1,263.60, 1,744.38 and 791.72

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Solution

The fourth proportional to 1,263.60, 1,744.38 and 791.72 is: 1,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.60 : 1,744.38 = 791.72 : x
  2. Step 2: Convert to fraction form
    1,263.60/1,744.38 = 791.72/x
  3. Step 3: Cross multiply
    1,263.60x = 1,744.38 × 791.72
  4. Step 4: Simplify right side
    1,263.60x = 1,381,060.53
  5. Step 5: Solve for x
    x = 1,381,060.53/1,263.60
  6. Step 6: Final answer
    x = 1,092.96

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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.