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Finding the Fourth Proportional to 1,133.48, 1,564.20 and 636.13

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Solution

The fourth proportional to 1,133.48, 1,564.20 and 636.13 is: 877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.48 : 1,564.20 = 636.13 : x
  2. Step 2: Convert to fraction form
    1,133.48/1,564.20 = 636.13/x
  3. Step 3: Cross multiply
    1,133.48x = 1,564.20 × 636.13
  4. Step 4: Simplify right side
    1,133.48x = 995,034.55
  5. Step 5: Solve for x
    x = 995,034.55/1,133.48
  6. Step 6: Final answer
    x = 877.86

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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.