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Finding the Fourth Proportional to 1,335.26, 2,001.07 and 847.44

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Solution

The fourth proportional to 1,335.26, 2,001.07 and 847.44 is: 1,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.26 : 2,001.07 = 847.44 : x
  2. Step 2: Convert to fraction form
    1,335.26/2,001.07 = 847.44/x
  3. Step 3: Cross multiply
    1,335.26x = 2,001.07 × 847.44
  4. Step 4: Simplify right side
    1,335.26x = 1,695,772.52
  5. Step 5: Solve for x
    x = 1,695,772.52/1,335.26
  6. Step 6: Final answer
    x = 1,269.99

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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.