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Finding the Fourth Proportional to 768.97, 1,060.85 and 469.97

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Solution

The fourth proportional to 768.97, 1,060.85 and 469.97 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.97 : 1,060.85 = 469.97 : x
  2. Step 2: Convert to fraction form
    768.97/1,060.85 = 469.97/x
  3. Step 3: Cross multiply
    768.97x = 1,060.85 × 469.97
  4. Step 4: Simplify right side
    768.97x = 498,563.55
  5. Step 5: Solve for x
    x = 498,563.55/768.97
  6. Step 6: Final answer
    x = 648.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.