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Finding the Fourth Proportional to 787.87, 1,181.60 and 325.78

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Solution

The fourth proportional to 787.87, 1,181.60 and 325.78 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.87 : 1,181.60 = 325.78 : x
  2. Step 2: Convert to fraction form
    787.87/1,181.60 = 325.78/x
  3. Step 3: Cross multiply
    787.87x = 1,181.60 × 325.78
  4. Step 4: Simplify right side
    787.87x = 384,934.11
  5. Step 5: Solve for x
    x = 384,934.11/787.87
  6. Step 6: Final answer
    x = 488.58

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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.