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Finding the Fourth Proportional to 551.44, 826.32 and 510.94

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Solution

The fourth proportional to 551.44, 826.32 and 510.94 is: 765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.44 : 826.32 = 510.94 : x
  2. Step 2: Convert to fraction form
    551.44/826.32 = 510.94/x
  3. Step 3: Cross multiply
    551.44x = 826.32 × 510.94
  4. Step 4: Simplify right side
    551.44x = 422,199.94
  5. Step 5: Solve for x
    x = 422,199.94/551.44
  6. Step 6: Final answer
    x = 765.63

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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.