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Finding the Fourth Proportional to 809.40, 1,212.66 and 551.64

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Solution

The fourth proportional to 809.40, 1,212.66 and 551.64 is: 826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.40 : 1,212.66 = 551.64 : x
  2. Step 2: Convert to fraction form
    809.40/1,212.66 = 551.64/x
  3. Step 3: Cross multiply
    809.40x = 1,212.66 × 551.64
  4. Step 4: Simplify right side
    809.40x = 668,951.76
  5. Step 5: Solve for x
    x = 668,951.76/809.40
  6. Step 6: Final answer
    x = 826.48

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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.