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Finding the Fourth Proportional to 1,079.38, 1,619.51 and 494.66

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Solution

The fourth proportional to 1,079.38, 1,619.51 and 494.66 is: 742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.38 : 1,619.51 = 494.66 : x
  2. Step 2: Convert to fraction form
    1,079.38/1,619.51 = 494.66/x
  3. Step 3: Cross multiply
    1,079.38x = 1,619.51 × 494.66
  4. Step 4: Simplify right side
    1,079.38x = 801,106.82
  5. Step 5: Solve for x
    x = 801,106.82/1,079.38
  6. Step 6: Final answer
    x = 742.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.