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Finding the Fourth Proportional to 551.40, 823.08 and 514.92

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Solution

The fourth proportional to 551.40, 823.08 and 514.92 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.40 : 823.08 = 514.92 : x
  2. Step 2: Convert to fraction form
    551.40/823.08 = 514.92/x
  3. Step 3: Cross multiply
    551.40x = 823.08 × 514.92
  4. Step 4: Simplify right side
    551.40x = 423,820.35
  5. Step 5: Solve for x
    x = 423,820.35/551.40
  6. Step 6: Final answer
    x = 768.63

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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.