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Finding the Fourth Proportional to 1,297.71, 1,789.90 and 825.14

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Solution

The fourth proportional to 1,297.71, 1,789.90 and 825.14 is: 1,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.71 : 1,789.90 = 825.14 : x
  2. Step 2: Convert to fraction form
    1,297.71/1,789.90 = 825.14/x
  3. Step 3: Cross multiply
    1,297.71x = 1,789.90 × 825.14
  4. Step 4: Simplify right side
    1,297.71x = 1,476,920.50
  5. Step 5: Solve for x
    x = 1,476,920.50/1,297.71
  6. Step 6: Final answer
    x = 1,138.10

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Why These Related Problems?

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