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Finding the Fourth Proportional to 787.75, 1,086.84 and 492.91

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Solution

The fourth proportional to 787.75, 1,086.84 and 492.91 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.75 : 1,086.84 = 492.91 : x
  2. Step 2: Convert to fraction form
    787.75/1,086.84 = 492.91/x
  3. Step 3: Cross multiply
    787.75x = 1,086.84 × 492.91
  4. Step 4: Simplify right side
    787.75x = 535,714.30
  5. Step 5: Solve for x
    x = 535,714.30/787.75
  6. Step 6: Final answer
    x = 680.06

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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.