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Finding the Fourth Proportional to 1,122.32, 1,682.10 and 797

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Solution

The fourth proportional to 1,122.32, 1,682.10 and 797 is: 1,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.32 : 1,682.10 = 797 : x
  2. Step 2: Convert to fraction form
    1,122.32/1,682.10 = 797/x
  3. Step 3: Cross multiply
    1,122.32x = 1,682.10 × 797
  4. Step 4: Simplify right side
    1,122.32x = 1,340,633.70
  5. Step 5: Solve for x
    x = 1,340,633.70/1,122.32
  6. Step 6: Final answer
    x = 1,194.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.