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Finding the Fourth Proportional to 809.32, 1,213.98 and 565.16

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Solution

The fourth proportional to 809.32, 1,213.98 and 565.16 is: 847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.32 : 1,213.98 = 565.16 : x
  2. Step 2: Convert to fraction form
    809.32/1,213.98 = 565.16/x
  3. Step 3: Cross multiply
    809.32x = 1,213.98 × 565.16
  4. Step 4: Simplify right side
    809.32x = 686,092.94
  5. Step 5: Solve for x
    x = 686,092.94/809.32
  6. Step 6: Final answer
    x = 847.74

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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.