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Finding the Fourth Proportional to 1,197.75, 1,796.61 and 467.83

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Solution

The fourth proportional to 1,197.75, 1,796.61 and 467.83 is: 701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.75 : 1,796.61 = 467.83 : x
  2. Step 2: Convert to fraction form
    1,197.75/1,796.61 = 467.83/x
  3. Step 3: Cross multiply
    1,197.75x = 1,796.61 × 467.83
  4. Step 4: Simplify right side
    1,197.75x = 840,508.06
  5. Step 5: Solve for x
    x = 840,508.06/1,197.75
  6. Step 6: Final answer
    x = 701.74

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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.