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Finding the Fourth Proportional to 1,171.79, 1,615.17 and 961.61

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Solution

The fourth proportional to 1,171.79, 1,615.17 and 961.61 is: 1,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.79 : 1,615.17 = 961.61 : x
  2. Step 2: Convert to fraction form
    1,171.79/1,615.17 = 961.61/x
  3. Step 3: Cross multiply
    1,171.79x = 1,615.17 × 961.61
  4. Step 4: Simplify right side
    1,171.79x = 1,553,163.62
  5. Step 5: Solve for x
    x = 1,553,163.62/1,171.79
  6. Step 6: Final answer
    x = 1,325.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.