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Finding the Fourth Proportional to 718.54, 991.62 and 469.86

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Solution

The fourth proportional to 718.54, 991.62 and 469.86 is: 648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.54 : 991.62 = 469.86 : x
  2. Step 2: Convert to fraction form
    718.54/991.62 = 469.86/x
  3. Step 3: Cross multiply
    718.54x = 991.62 × 469.86
  4. Step 4: Simplify right side
    718.54x = 465,922.57
  5. Step 5: Solve for x
    x = 465,922.57/718.54
  6. Step 6: Final answer
    x = 648.43

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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.