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Finding the Fourth Proportional to 1,133.82, 1,564.62 and 636.52

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Solution

The fourth proportional to 1,133.82, 1,564.62 and 636.52 is: 878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.82 : 1,564.62 = 636.52 : x
  2. Step 2: Convert to fraction form
    1,133.82/1,564.62 = 636.52/x
  3. Step 3: Cross multiply
    1,133.82x = 1,564.62 × 636.52
  4. Step 4: Simplify right side
    1,133.82x = 995,911.92
  5. Step 5: Solve for x
    x = 995,911.92/1,133.82
  6. Step 6: Final answer
    x = 878.37

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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.