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Finding the Fourth Proportional to 547.10, 825.18 and 511.10

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Solution

The fourth proportional to 547.10, 825.18 and 511.10 is: 770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.10 : 825.18 = 511.10 : x
  2. Step 2: Convert to fraction form
    547.10/825.18 = 511.10/x
  3. Step 3: Cross multiply
    547.10x = 825.18 × 511.10
  4. Step 4: Simplify right side
    547.10x = 421,749.50
  5. Step 5: Solve for x
    x = 421,749.50/547.10
  6. Step 6: Final answer
    x = 770.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.