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Finding the Fourth Proportional to 768.10, 1,060.77 and 591.70

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Solution

The fourth proportional to 768.10, 1,060.77 and 591.70 is: 817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.10 : 1,060.77 = 591.70 : x
  2. Step 2: Convert to fraction form
    768.10/1,060.77 = 591.70/x
  3. Step 3: Cross multiply
    768.10x = 1,060.77 × 591.70
  4. Step 4: Simplify right side
    768.10x = 627,657.61
  5. Step 5: Solve for x
    x = 627,657.61/768.10
  6. Step 6: Final answer
    x = 817.16

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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.