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Finding the Fourth Proportional to 733.60, 1,093.92 and 727

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Solution

The fourth proportional to 733.60, 1,093.92 and 727 is: 1,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.60 : 1,093.92 = 727 : x
  2. Step 2: Convert to fraction form
    733.60/1,093.92 = 727/x
  3. Step 3: Cross multiply
    733.60x = 1,093.92 × 727
  4. Step 4: Simplify right side
    733.60x = 795,279.84
  5. Step 5: Solve for x
    x = 795,279.84/733.60
  6. Step 6: Final answer
    x = 1,084.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.