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Finding the Fourth Proportional to 1,138.65, 1,568.55 and 991.05

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Solution

The fourth proportional to 1,138.65, 1,568.55 and 991.05 is: 1,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.65 : 1,568.55 = 991.05 : x
  2. Step 2: Convert to fraction form
    1,138.65/1,568.55 = 991.05/x
  3. Step 3: Cross multiply
    1,138.65x = 1,568.55 × 991.05
  4. Step 4: Simplify right side
    1,138.65x = 1,554,511.48
  5. Step 5: Solve for x
    x = 1,554,511.48/1,138.65
  6. Step 6: Final answer
    x = 1,365.22

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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.