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Finding the Fourth Proportional to 787.68, 1,182.12 and 325.76

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Solution

The fourth proportional to 787.68, 1,182.12 and 325.76 is: 488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.68 : 1,182.12 = 325.76 : x
  2. Step 2: Convert to fraction form
    787.68/1,182.12 = 325.76/x
  3. Step 3: Cross multiply
    787.68x = 1,182.12 × 325.76
  4. Step 4: Simplify right side
    787.68x = 385,087.41
  5. Step 5: Solve for x
    x = 385,087.41/787.68
  6. Step 6: Final answer
    x = 488.89

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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.