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Finding the Fourth Proportional to 1,163.53, 1,605.67 and 639.56

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Solution

The fourth proportional to 1,163.53, 1,605.67 and 639.56 is: 882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.53 : 1,605.67 = 639.56 : x
  2. Step 2: Convert to fraction form
    1,163.53/1,605.67 = 639.56/x
  3. Step 3: Cross multiply
    1,163.53x = 1,605.67 × 639.56
  4. Step 4: Simplify right side
    1,163.53x = 1,026,928.32
  5. Step 5: Solve for x
    x = 1,026,928.32/1,163.53
  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.