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Finding the Fourth Proportional to 1,278.73, 1,918.28 and 457.14

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Solution

The fourth proportional to 1,278.73, 1,918.28 and 457.14 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.73 : 1,918.28 = 457.14 : x
  2. Step 2: Convert to fraction form
    1,278.73/1,918.28 = 457.14/x
  3. Step 3: Cross multiply
    1,278.73x = 1,918.28 × 457.14
  4. Step 4: Simplify right side
    1,278.73x = 876,920.23
  5. Step 5: Solve for x
    x = 876,920.23/1,278.73
  6. Step 6: Final answer
    x = 685.77

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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.