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Finding the Fourth Proportional to 787.86, 1,181.03 and 514.15

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Solution

The fourth proportional to 787.86, 1,181.03 and 514.15 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.86 : 1,181.03 = 514.15 : x
  2. Step 2: Convert to fraction form
    787.86/1,181.03 = 514.15/x
  3. Step 3: Cross multiply
    787.86x = 1,181.03 × 514.15
  4. Step 4: Simplify right side
    787.86x = 607,221.05
  5. Step 5: Solve for x
    x = 607,221.05/787.86
  6. Step 6: Final answer
    x = 770.72

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