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Finding the Fourth Proportional to 811.20, 1,216.88 and 488.62

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Solution

The fourth proportional to 811.20, 1,216.88 and 488.62 is: 732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.20 : 1,216.88 = 488.62 : x
  2. Step 2: Convert to fraction form
    811.20/1,216.88 = 488.62/x
  3. Step 3: Cross multiply
    811.20x = 1,216.88 × 488.62
  4. Step 4: Simplify right side
    811.20x = 594,591.91
  5. Step 5: Solve for x
    x = 594,591.91/811.20
  6. Step 6: Final answer
    x = 732.98

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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.