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Finding the Fourth Proportional to 1,133.59, 1,564.34 and 636.22

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Solution

The fourth proportional to 1,133.59, 1,564.34 and 636.22 is: 877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.59 : 1,564.34 = 636.22 : x
  2. Step 2: Convert to fraction form
    1,133.59/1,564.34 = 636.22/x
  3. Step 3: Cross multiply
    1,133.59x = 1,564.34 × 636.22
  4. Step 4: Simplify right side
    1,133.59x = 995,264.39
  5. Step 5: Solve for x
    x = 995,264.39/1,133.59
  6. Step 6: Final answer
    x = 877.98

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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.