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Finding the Fourth Proportional to 1,281.18, 1,768.74 and 839.73

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Solution

The fourth proportional to 1,281.18, 1,768.74 and 839.73 is: 1,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.18 : 1,768.74 = 839.73 : x
  2. Step 2: Convert to fraction form
    1,281.18/1,768.74 = 839.73/x
  3. Step 3: Cross multiply
    1,281.18x = 1,768.74 × 839.73
  4. Step 4: Simplify right side
    1,281.18x = 1,485,264.04
  5. Step 5: Solve for x
    x = 1,485,264.04/1,281.18
  6. Step 6: Final answer
    x = 1,159.29

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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.