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Finding the Fourth Proportional to 1,163.32, 1,605.34 and 639.35

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Solution

The fourth proportional to 1,163.32, 1,605.34 and 639.35 is: 882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.32 : 1,605.34 = 639.35 : x
  2. Step 2: Convert to fraction form
    1,163.32/1,605.34 = 639.35/x
  3. Step 3: Cross multiply
    1,163.32x = 1,605.34 × 639.35
  4. Step 4: Simplify right side
    1,163.32x = 1,026,366.10
  5. Step 5: Solve for x
    x = 1,026,366.10/1,163.32
  6. Step 6: Final answer
    x = 882.28

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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.