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Finding the Fourth Proportional to 862.71, 1,190.50 and 469.73

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Solution

The fourth proportional to 862.71, 1,190.50 and 469.73 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.71 : 1,190.50 = 469.73 : x
  2. Step 2: Convert to fraction form
    862.71/1,190.50 = 469.73/x
  3. Step 3: Cross multiply
    862.71x = 1,190.50 × 469.73
  4. Step 4: Simplify right side
    862.71x = 559,215.37
  5. Step 5: Solve for x
    x = 559,215.37/862.71
  6. Step 6: Final answer
    x = 648.21

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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.