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Finding the Fourth Proportional to 809.72, 1,213 and 397.64

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Solution

The fourth proportional to 809.72, 1,213 and 397.64 is: 595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.72 : 1,213 = 397.64 : x
  2. Step 2: Convert to fraction form
    809.72/1,213 = 397.64/x
  3. Step 3: Cross multiply
    809.72x = 1,213 × 397.64
  4. Step 4: Simplify right side
    809.72x = 482,337.32
  5. Step 5: Solve for x
    x = 482,337.32/809.72
  6. Step 6: Final answer
    x = 595.68

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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.