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Finding the Fourth Proportional to 1,197.18, 1,796.61 and 611.81

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Solution

The fourth proportional to 1,197.18, 1,796.61 and 611.81 is: 918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.18 : 1,796.61 = 611.81 : x
  2. Step 2: Convert to fraction form
    1,197.18/1,796.61 = 611.81/x
  3. Step 3: Cross multiply
    1,197.18x = 1,796.61 × 611.81
  4. Step 4: Simplify right side
    1,197.18x = 1,099,174.98
  5. Step 5: Solve for x
    x = 1,099,174.98/1,197.18
  6. Step 6: Final answer
    x = 918.14

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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.