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Finding the Fourth Proportional to 768.77, 1,060.74 and 488.90

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Solution

The fourth proportional to 768.77, 1,060.74 and 488.90 is: 674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.77 : 1,060.74 = 488.90 : x
  2. Step 2: Convert to fraction form
    768.77/1,060.74 = 488.90/x
  3. Step 3: Cross multiply
    768.77x = 1,060.74 × 488.90
  4. Step 4: Simplify right side
    768.77x = 518,594.56
  5. Step 5: Solve for x
    x = 518,594.56/768.77
  6. Step 6: Final answer
    x = 674.58

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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.