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Finding the Fourth Proportional to 1,278.59, 1,918.29 and 456.85

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Solution

The fourth proportional to 1,278.59, 1,918.29 and 456.85 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.59 : 1,918.29 = 456.85 : x
  2. Step 2: Convert to fraction form
    1,278.59/1,918.29 = 456.85/x
  3. Step 3: Cross multiply
    1,278.59x = 1,918.29 × 456.85
  4. Step 4: Simplify right side
    1,278.59x = 876,361.20
  5. Step 5: Solve for x
    x = 876,361.20/1,278.59
  6. Step 6: Final answer
    x = 685.41

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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.