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Finding the Fourth Proportional to 1,197.55, 1,653.17 and 799.87

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Solution

The fourth proportional to 1,197.55, 1,653.17 and 799.87 is: 1,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.55 : 1,653.17 = 799.87 : x
  2. Step 2: Convert to fraction form
    1,197.55/1,653.17 = 799.87/x
  3. Step 3: Cross multiply
    1,197.55x = 1,653.17 × 799.87
  4. Step 4: Simplify right side
    1,197.55x = 1,322,321.09
  5. Step 5: Solve for x
    x = 1,322,321.09/1,197.55
  6. Step 6: Final answer
    x = 1,104.19

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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.