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Finding the Fourth Proportional to 1,163.63, 1,605.81 and 639.68

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Solution

The fourth proportional to 1,163.63, 1,605.81 and 639.68 is: 882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.63 : 1,605.81 = 639.68 : x
  2. Step 2: Convert to fraction form
    1,163.63/1,605.81 = 639.68/x
  3. Step 3: Cross multiply
    1,163.63x = 1,605.81 × 639.68
  4. Step 4: Simplify right side
    1,163.63x = 1,027,196.51
  5. Step 5: Solve for x
    x = 1,027,196.51/1,163.63
  6. Step 6: Final answer
    x = 882.76

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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.