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Finding the Fourth Proportional to 1,138.46, 1,568.79 and 744.80

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Solution

The fourth proportional to 1,138.46, 1,568.79 and 744.80 is: 1,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.46 : 1,568.79 = 744.80 : x
  2. Step 2: Convert to fraction form
    1,138.46/1,568.79 = 744.80/x
  3. Step 3: Cross multiply
    1,138.46x = 1,568.79 × 744.80
  4. Step 4: Simplify right side
    1,138.46x = 1,168,426.95
  5. Step 5: Solve for x
    x = 1,168,426.95/1,138.46
  6. Step 6: Final answer
    x = 1,026.33

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