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Finding the Fourth Proportional to 1,121.38, 1,681.53 and 677.11

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Solution

The fourth proportional to 1,121.38, 1,681.53 and 677.11 is: 1,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.38 : 1,681.53 = 677.11 : x
  2. Step 2: Convert to fraction form
    1,121.38/1,681.53 = 677.11/x
  3. Step 3: Cross multiply
    1,121.38x = 1,681.53 × 677.11
  4. Step 4: Simplify right side
    1,121.38x = 1,138,572.22
  5. Step 5: Solve for x
    x = 1,138,572.22/1,121.38
  6. Step 6: Final answer
    x = 1,015.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.