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Finding the Fourth Proportional to 551.80, 827.70 and 542.80

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Solution

The fourth proportional to 551.80, 827.70 and 542.80 is: 814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 827.70 = 542.80 : x
  2. Step 2: Convert to fraction form
    551.80/827.70 = 542.80/x
  3. Step 3: Cross multiply
    551.80x = 827.70 × 542.80
  4. Step 4: Simplify right side
    551.80x = 449,275.56
  5. Step 5: Solve for x
    x = 449,275.56/551.80
  6. Step 6: Final answer
    x = 814.20

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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.