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Finding the Fourth Proportional to 1,191.69, 1,773.11 and 1,161.93

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Solution

The fourth proportional to 1,191.69, 1,773.11 and 1,161.93 is: 1,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.69 : 1,773.11 = 1,161.93 : x
  2. Step 2: Convert to fraction form
    1,191.69/1,773.11 = 1,161.93/x
  3. Step 3: Cross multiply
    1,191.69x = 1,773.11 × 1,161.93
  4. Step 4: Simplify right side
    1,191.69x = 2,060,232.61
  5. Step 5: Solve for x
    x = 2,060,232.61/1,191.69
  6. Step 6: Final answer
    x = 1,728.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.