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Finding the Fourth Proportional to 1,278.78, 1,918.18 and 701.34

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Solution

The fourth proportional to 1,278.78, 1,918.18 and 701.34 is: 1,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.78 : 1,918.18 = 701.34 : x
  2. Step 2: Convert to fraction form
    1,278.78/1,918.18 = 701.34/x
  3. Step 3: Cross multiply
    1,278.78x = 1,918.18 × 701.34
  4. Step 4: Simplify right side
    1,278.78x = 1,345,296.36
  5. Step 5: Solve for x
    x = 1,345,296.36/1,278.78
  6. Step 6: Final answer
    x = 1,052.02

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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.