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Finding the Fourth Proportional to 1,163.67, 1,605.75 and 659.55

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Solution

The fourth proportional to 1,163.67, 1,605.75 and 659.55 is: 910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.67 : 1,605.75 = 659.55 : x
  2. Step 2: Convert to fraction form
    1,163.67/1,605.75 = 659.55/x
  3. Step 3: Cross multiply
    1,163.67x = 1,605.75 × 659.55
  4. Step 4: Simplify right side
    1,163.67x = 1,059,072.41
  5. Step 5: Solve for x
    x = 1,059,072.41/1,163.67
  6. Step 6: Final answer
    x = 910.11

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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.