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Finding the Fourth Proportional to 1,119.89, 1,545.60 and 677.85

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Solution

The fourth proportional to 1,119.89, 1,545.60 and 677.85 is: 935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.89 : 1,545.60 = 677.85 : x
  2. Step 2: Convert to fraction form
    1,119.89/1,545.60 = 677.85/x
  3. Step 3: Cross multiply
    1,119.89x = 1,545.60 × 677.85
  4. Step 4: Simplify right side
    1,119.89x = 1,047,684.96
  5. Step 5: Solve for x
    x = 1,047,684.96/1,119.89
  6. Step 6: Final answer
    x = 935.53

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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.