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Finding the Fourth Proportional to 787.99, 1,182.21 and 325.79

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Solution

The fourth proportional to 787.99, 1,182.21 and 325.79 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.99 : 1,182.21 = 325.79 : x
  2. Step 2: Convert to fraction form
    787.99/1,182.21 = 325.79/x
  3. Step 3: Cross multiply
    787.99x = 1,182.21 × 325.79
  4. Step 4: Simplify right side
    787.99x = 385,152.20
  5. Step 5: Solve for x
    x = 385,152.20/787.99
  6. Step 6: Final answer
    x = 488.78

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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.