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Finding the Fourth Proportional to 576.79, 866.36 and 551.14

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Solution

The fourth proportional to 576.79, 866.36 and 551.14 is: 827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.79 : 866.36 = 551.14 : x
  2. Step 2: Convert to fraction form
    576.79/866.36 = 551.14/x
  3. Step 3: Cross multiply
    576.79x = 866.36 × 551.14
  4. Step 4: Simplify right side
    576.79x = 477,484.86
  5. Step 5: Solve for x
    x = 477,484.86/576.79
  6. Step 6: Final answer
    x = 827.83

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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.