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Finding the Fourth Proportional to 787.64, 1,180.58 and 325.16

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Solution

The fourth proportional to 787.64, 1,180.58 and 325.16 is: 487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.64 : 1,180.58 = 325.16 : x
  2. Step 2: Convert to fraction form
    787.64/1,180.58 = 325.16/x
  3. Step 3: Cross multiply
    787.64x = 1,180.58 × 325.16
  4. Step 4: Simplify right side
    787.64x = 383,876.73
  5. Step 5: Solve for x
    x = 383,876.73/787.64
  6. Step 6: Final answer
    x = 487.38

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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.