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Finding the Fourth Proportional to 1,291.16, 1,938.44 and 675.32

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Solution

The fourth proportional to 1,291.16, 1,938.44 and 675.32 is: 1,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.16 : 1,938.44 = 675.32 : x
  2. Step 2: Convert to fraction form
    1,291.16/1,938.44 = 675.32/x
  3. Step 3: Cross multiply
    1,291.16x = 1,938.44 × 675.32
  4. Step 4: Simplify right side
    1,291.16x = 1,309,067.30
  5. Step 5: Solve for x
    x = 1,309,067.30/1,291.16
  6. Step 6: Final answer
    x = 1,013.87

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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.