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Finding the Fourth Proportional to 1,163.57, 1,605.67 and 639.59

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Solution

The fourth proportional to 1,163.57, 1,605.67 and 639.59 is: 882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.57 : 1,605.67 = 639.59 : x
  2. Step 2: Convert to fraction form
    1,163.57/1,605.67 = 639.59/x
  3. Step 3: Cross multiply
    1,163.57x = 1,605.67 × 639.59
  4. Step 4: Simplify right side
    1,163.57x = 1,026,970.48
  5. Step 5: Solve for x
    x = 1,026,970.48/1,163.57
  6. Step 6: Final answer
    x = 882.60

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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.