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Finding the Fourth Proportional to 1,278.90, 1,918.98 and 457.79

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Solution

The fourth proportional to 1,278.90, 1,918.98 and 457.79 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.90 : 1,918.98 = 457.79 : x
  2. Step 2: Convert to fraction form
    1,278.90/1,918.98 = 457.79/x
  3. Step 3: Cross multiply
    1,278.90x = 1,918.98 × 457.79
  4. Step 4: Simplify right side
    1,278.90x = 878,480.26
  5. Step 5: Solve for x
    x = 878,480.26/1,278.90
  6. Step 6: Final answer
    x = 686.90

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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.