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Finding the Fourth Proportional to 797.87, 1,199.12 and 742.51

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Solution

The fourth proportional to 797.87, 1,199.12 and 742.51 is: 1,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.87 : 1,199.12 = 742.51 : x
  2. Step 2: Convert to fraction form
    797.87/1,199.12 = 742.51/x
  3. Step 3: Cross multiply
    797.87x = 1,199.12 × 742.51
  4. Step 4: Simplify right side
    797.87x = 890,348.88
  5. Step 5: Solve for x
    x = 890,348.88/797.87
  6. Step 6: Final answer
    x = 1,115.91

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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.