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Finding the Fourth Proportional to 809.24, 1,214.10 and 467

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Solution

The fourth proportional to 809.24, 1,214.10 and 467 is: 700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.24 : 1,214.10 = 467 : x
  2. Step 2: Convert to fraction form
    809.24/1,214.10 = 467/x
  3. Step 3: Cross multiply
    809.24x = 1,214.10 × 467
  4. Step 4: Simplify right side
    809.24x = 566,984.70
  5. Step 5: Solve for x
    x = 566,984.70/809.24
  6. Step 6: Final answer
    x = 700.64

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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.