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Finding the Fourth Proportional to 551.78, 821.67 and 545.72

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Solution

The fourth proportional to 551.78, 821.67 and 545.72 is: 812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.78 : 821.67 = 545.72 : x
  2. Step 2: Convert to fraction form
    551.78/821.67 = 545.72/x
  3. Step 3: Cross multiply
    551.78x = 821.67 × 545.72
  4. Step 4: Simplify right side
    551.78x = 448,401.75
  5. Step 5: Solve for x
    x = 448,401.75/551.78
  6. Step 6: Final answer
    x = 812.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.