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Finding the Fourth Proportional to 1,119.61, 1,545.20 and 677.51

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Solution

The fourth proportional to 1,119.61, 1,545.20 and 677.51 is: 935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.61 : 1,545.20 = 677.51 : x
  2. Step 2: Convert to fraction form
    1,119.61/1,545.20 = 677.51/x
  3. Step 3: Cross multiply
    1,119.61x = 1,545.20 × 677.51
  4. Step 4: Simplify right side
    1,119.61x = 1,046,896.27
  5. Step 5: Solve for x
    x = 1,046,896.27/1,119.61
  6. Step 6: Final answer
    x = 935.06

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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.