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Finding the Fourth Proportional to 862.20, 1,189.78 and 469.22

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Solution

The fourth proportional to 862.20, 1,189.78 and 469.22 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.20 : 1,189.78 = 469.22 : x
  2. Step 2: Convert to fraction form
    862.20/1,189.78 = 469.22/x
  3. Step 3: Cross multiply
    862.20x = 1,189.78 × 469.22
  4. Step 4: Simplify right side
    862.20x = 558,261.45
  5. Step 5: Solve for x
    x = 558,261.45/862.20
  6. Step 6: Final answer
    x = 647.48

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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.