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Finding the Fourth Proportional to 1,133.42, 1,564.21 and 636.17

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Solution

The fourth proportional to 1,133.42, 1,564.21 and 636.17 is: 877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.42 : 1,564.21 = 636.17 : x
  2. Step 2: Convert to fraction form
    1,133.42/1,564.21 = 636.17/x
  3. Step 3: Cross multiply
    1,133.42x = 1,564.21 × 636.17
  4. Step 4: Simplify right side
    1,133.42x = 995,103.48
  5. Step 5: Solve for x
    x = 995,103.48/1,133.42
  6. Step 6: Final answer
    x = 877.97

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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.