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Finding the Fourth Proportional to 1,132.74, 1,690.56 and 1,039.80

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Solution

The fourth proportional to 1,132.74, 1,690.56 and 1,039.80 is: 1,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.74 : 1,690.56 = 1,039.80 : x
  2. Step 2: Convert to fraction form
    1,132.74/1,690.56 = 1,039.80/x
  3. Step 3: Cross multiply
    1,132.74x = 1,690.56 × 1,039.80
  4. Step 4: Simplify right side
    1,132.74x = 1,757,844.29
  5. Step 5: Solve for x
    x = 1,757,844.29/1,132.74
  6. Step 6: Final answer
    x = 1,551.85

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