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Finding the Fourth Proportional to 1,197.13, 1,796.40 and 547.91

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Solution

The fourth proportional to 1,197.13, 1,796.40 and 547.91 is: 822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.13 : 1,796.40 = 547.91 : x
  2. Step 2: Convert to fraction form
    1,197.13/1,796.40 = 547.91/x
  3. Step 3: Cross multiply
    1,197.13x = 1,796.40 × 547.91
  4. Step 4: Simplify right side
    1,197.13x = 984,265.52
  5. Step 5: Solve for x
    x = 984,265.52/1,197.13
  6. Step 6: Final answer
    x = 822.19

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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.