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Finding the Fourth Proportional to 1,254.25, 1,731.07 and 1,198.88

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Solution

The fourth proportional to 1,254.25, 1,731.07 and 1,198.88 is: 1,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.25 : 1,731.07 = 1,198.88 : x
  2. Step 2: Convert to fraction form
    1,254.25/1,731.07 = 1,198.88/x
  3. Step 3: Cross multiply
    1,254.25x = 1,731.07 × 1,198.88
  4. Step 4: Simplify right side
    1,254.25x = 2,075,345.20
  5. Step 5: Solve for x
    x = 2,075,345.20/1,254.25
  6. Step 6: Final answer
    x = 1,654.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.