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Finding the Fourth Proportional to 1,290.68, 1,778.82 and 1,068.44

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Solution

The fourth proportional to 1,290.68, 1,778.82 and 1,068.44 is: 1,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.68 : 1,778.82 = 1,068.44 : x
  2. Step 2: Convert to fraction form
    1,290.68/1,778.82 = 1,068.44/x
  3. Step 3: Cross multiply
    1,290.68x = 1,778.82 × 1,068.44
  4. Step 4: Simplify right side
    1,290.68x = 1,900,562.44
  5. Step 5: Solve for x
    x = 1,900,562.44/1,290.68
  6. Step 6: Final answer
    x = 1,472.53

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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.