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Finding the Fourth Proportional to 862.47, 1,190.22 and 469.49

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Solution

The fourth proportional to 862.47, 1,190.22 and 469.49 is: 647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.47 : 1,190.22 = 469.49 : x
  2. Step 2: Convert to fraction form
    862.47/1,190.22 = 469.49/x
  3. Step 3: Cross multiply
    862.47x = 1,190.22 × 469.49
  4. Step 4: Simplify right side
    862.47x = 558,794.04
  5. Step 5: Solve for x
    x = 558,794.04/862.47
  6. Step 6: Final answer
    x = 647.90

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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.