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Finding the Fourth Proportional to 1,278.92, 1,918.13 and 457.22

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Solution

The fourth proportional to 1,278.92, 1,918.13 and 457.22 is: 685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.92 : 1,918.13 = 457.22 : x
  2. Step 2: Convert to fraction form
    1,278.92/1,918.13 = 457.22/x
  3. Step 3: Cross multiply
    1,278.92x = 1,918.13 × 457.22
  4. Step 4: Simplify right side
    1,278.92x = 876,995.52
  5. Step 5: Solve for x
    x = 876,995.52/1,278.92
  6. Step 6: Final answer
    x = 685.73

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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.