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Finding the Fourth Proportional to 547.76, 820.82 and 534.17

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Solution

The fourth proportional to 547.76, 820.82 and 534.17 is: 800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.76 : 820.82 = 534.17 : x
  2. Step 2: Convert to fraction form
    547.76/820.82 = 534.17/x
  3. Step 3: Cross multiply
    547.76x = 820.82 × 534.17
  4. Step 4: Simplify right side
    547.76x = 438,460.81
  5. Step 5: Solve for x
    x = 438,460.81/547.76
  6. Step 6: Final answer
    x = 800.47

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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.