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Finding the Fourth Proportional to 547.10, 820.65 and 521.90

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Solution

The fourth proportional to 547.10, 820.65 and 521.90 is: 782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.10 : 820.65 = 521.90 : x
  2. Step 2: Convert to fraction form
    547.10/820.65 = 521.90/x
  3. Step 3: Cross multiply
    547.10x = 820.65 × 521.90
  4. Step 4: Simplify right side
    547.10x = 428,297.24
  5. Step 5: Solve for x
    x = 428,297.24/547.10
  6. Step 6: Final answer
    x = 782.85

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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.