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Finding the Fourth Proportional to 1,163.97, 1,742.76 and 853.47

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Solution

The fourth proportional to 1,163.97, 1,742.76 and 853.47 is: 1,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.97 : 1,742.76 = 853.47 : x
  2. Step 2: Convert to fraction form
    1,163.97/1,742.76 = 853.47/x
  3. Step 3: Cross multiply
    1,163.97x = 1,742.76 × 853.47
  4. Step 4: Simplify right side
    1,163.97x = 1,487,393.38
  5. Step 5: Solve for x
    x = 1,487,393.38/1,163.97
  6. Step 6: Final answer
    x = 1,277.86

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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.