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Finding the Fourth Proportional to 787.20, 1,086.72 and 492.63

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Solution

The fourth proportional to 787.20, 1,086.72 and 492.63 is: 680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.20 : 1,086.72 = 492.63 : x
  2. Step 2: Convert to fraction form
    787.20/1,086.72 = 492.63/x
  3. Step 3: Cross multiply
    787.20x = 1,086.72 × 492.63
  4. Step 4: Simplify right side
    787.20x = 535,350.87
  5. Step 5: Solve for x
    x = 535,350.87/787.20
  6. Step 6: Final answer
    x = 680.07

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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.