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Finding the Fourth Proportional to 809.32, 1,214.14 and 261.55

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Solution

The fourth proportional to 809.32, 1,214.14 and 261.55 is: 392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.32 : 1,214.14 = 261.55 : x
  2. Step 2: Convert to fraction form
    809.32/1,214.14 = 261.55/x
  3. Step 3: Cross multiply
    809.32x = 1,214.14 × 261.55
  4. Step 4: Simplify right side
    809.32x = 317,558.32
  5. Step 5: Solve for x
    x = 317,558.32/809.32
  6. Step 6: Final answer
    x = 392.38

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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.