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Finding the Fourth Proportional to 1,197.78, 1,796.97 and 467.57

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Solution

The fourth proportional to 1,197.78, 1,796.97 and 467.57 is: 701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.78 : 1,796.97 = 467.57 : x
  2. Step 2: Convert to fraction form
    1,197.78/1,796.97 = 467.57/x
  3. Step 3: Cross multiply
    1,197.78x = 1,796.97 × 467.57
  4. Step 4: Simplify right side
    1,197.78x = 840,209.26
  5. Step 5: Solve for x
    x = 840,209.26/1,197.78
  6. Step 6: Final answer
    x = 701.47

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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.