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Finding the Fourth Proportional to 768.96, 1,060.61 and 600.57

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Solution

The fourth proportional to 768.96, 1,060.61 and 600.57 is: 828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.96 : 1,060.61 = 600.57 : x
  2. Step 2: Convert to fraction form
    768.96/1,060.61 = 600.57/x
  3. Step 3: Cross multiply
    768.96x = 1,060.61 × 600.57
  4. Step 4: Simplify right side
    768.96x = 636,967.54
  5. Step 5: Solve for x
    x = 636,967.54/768.96
  6. Step 6: Final answer
    x = 828.35

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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.