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Finding the Fourth Proportional to 1,163.12, 1,605.20 and 639.20

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Solution

The fourth proportional to 1,163.12, 1,605.20 and 639.20 is: 882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.12 : 1,605.20 = 639.20 : x
  2. Step 2: Convert to fraction form
    1,163.12/1,605.20 = 639.20/x
  3. Step 3: Cross multiply
    1,163.12x = 1,605.20 × 639.20
  4. Step 4: Simplify right side
    1,163.12x = 1,026,043.84
  5. Step 5: Solve for x
    x = 1,026,043.84/1,163.12
  6. Step 6: Final answer
    x = 882.15

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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.