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Finding the Fourth Proportional to 787.83, 1,086.78 and 535.68

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Solution

The fourth proportional to 787.83, 1,086.78 and 535.68 is: 738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.83 : 1,086.78 = 535.68 : x
  2. Step 2: Convert to fraction form
    787.83/1,086.78 = 535.68/x
  3. Step 3: Cross multiply
    787.83x = 1,086.78 × 535.68
  4. Step 4: Simplify right side
    787.83x = 582,168.32
  5. Step 5: Solve for x
    x = 582,168.32/787.83
  6. Step 6: Final answer
    x = 738.96

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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.