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Finding the Fourth Proportional to 1,173.89, 1,759.97 and 711.56

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Solution

The fourth proportional to 1,173.89, 1,759.97 and 711.56 is: 1,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.89 : 1,759.97 = 711.56 : x
  2. Step 2: Convert to fraction form
    1,173.89/1,759.97 = 711.56/x
  3. Step 3: Cross multiply
    1,173.89x = 1,759.97 × 711.56
  4. Step 4: Simplify right side
    1,173.89x = 1,252,324.25
  5. Step 5: Solve for x
    x = 1,252,324.25/1,173.89
  6. Step 6: Final answer
    x = 1,066.82

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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.