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Finding the Fourth Proportional to 1,278.85, 1,918.30 and 401.33

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Solution

The fourth proportional to 1,278.85, 1,918.30 and 401.33 is: 602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.85 : 1,918.30 = 401.33 : x
  2. Step 2: Convert to fraction form
    1,278.85/1,918.30 = 401.33/x
  3. Step 3: Cross multiply
    1,278.85x = 1,918.30 × 401.33
  4. Step 4: Simplify right side
    1,278.85x = 769,868.80
  5. Step 5: Solve for x
    x = 769,868.80/1,278.85
  6. Step 6: Final answer
    x = 602.00

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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.