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Finding the Fourth Proportional to 1,278.90, 1,918.17 and 499.32

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Solution

The fourth proportional to 1,278.90, 1,918.17 and 499.32 is: 748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.90 : 1,918.17 = 499.32 : x
  2. Step 2: Convert to fraction form
    1,278.90/1,918.17 = 499.32/x
  3. Step 3: Cross multiply
    1,278.90x = 1,918.17 × 499.32
  4. Step 4: Simplify right side
    1,278.90x = 957,780.64
  5. Step 5: Solve for x
    x = 957,780.64/1,278.90
  6. Step 6: Final answer
    x = 748.91

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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.