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Finding the Fourth Proportional to 1,197.78, 1,651.32 and 799.47

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Solution

The fourth proportional to 1,197.78, 1,651.32 and 799.47 is: 1,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.78 : 1,651.32 = 799.47 : x
  2. Step 2: Convert to fraction form
    1,197.78/1,651.32 = 799.47/x
  3. Step 3: Cross multiply
    1,197.78x = 1,651.32 × 799.47
  4. Step 4: Simplify right side
    1,197.78x = 1,320,168.55
  5. Step 5: Solve for x
    x = 1,320,168.55/1,197.78
  6. Step 6: Final answer
    x = 1,102.18

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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.