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Finding the Fourth Proportional to 787.15, 1,179.70 and 493.96

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Solution

The fourth proportional to 787.15, 1,179.70 and 493.96 is: 740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.15 : 1,179.70 = 493.96 : x
  2. Step 2: Convert to fraction form
    787.15/1,179.70 = 493.96/x
  3. Step 3: Cross multiply
    787.15x = 1,179.70 × 493.96
  4. Step 4: Simplify right side
    787.15x = 582,724.61
  5. Step 5: Solve for x
    x = 582,724.61/787.15
  6. Step 6: Final answer
    x = 740.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.