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Finding the Fourth Proportional to 787.52, 1,181.52 and 462.20

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Solution

The fourth proportional to 787.52, 1,181.52 and 462.20 is: 693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.52 : 1,181.52 = 462.20 : x
  2. Step 2: Convert to fraction form
    787.52/1,181.52 = 462.20/x
  3. Step 3: Cross multiply
    787.52x = 1,181.52 × 462.20
  4. Step 4: Simplify right side
    787.52x = 546,098.54
  5. Step 5: Solve for x
    x = 546,098.54/787.52
  6. Step 6: Final answer
    x = 693.44

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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.