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Finding the Fourth Proportional to 862.30, 1,189.97 and 469.32

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Solution

The fourth proportional to 862.30, 1,189.97 and 469.32 is: 647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.30 : 1,189.97 = 469.32 : x
  2. Step 2: Convert to fraction form
    862.30/1,189.97 = 469.32/x
  3. Step 3: Cross multiply
    862.30x = 1,189.97 × 469.32
  4. Step 4: Simplify right side
    862.30x = 558,476.72
  5. Step 5: Solve for x
    x = 558,476.72/862.30
  6. Step 6: Final answer
    x = 647.66

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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.