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Finding the Fourth Proportional to 1,119.73, 1,542.71 and 839.53

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Solution

The fourth proportional to 1,119.73, 1,542.71 and 839.53 is: 1,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.73 : 1,542.71 = 839.53 : x
  2. Step 2: Convert to fraction form
    1,119.73/1,542.71 = 839.53/x
  3. Step 3: Cross multiply
    1,119.73x = 1,542.71 × 839.53
  4. Step 4: Simplify right side
    1,119.73x = 1,295,139.42
  5. Step 5: Solve for x
    x = 1,295,139.42/1,119.73
  6. Step 6: Final answer
    x = 1,156.65

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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.