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Finding the Fourth Proportional to 605.27, 911.94 and 547.56

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Solution

The fourth proportional to 605.27, 911.94 and 547.56 is: 825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.27 : 911.94 = 547.56 : x
  2. Step 2: Convert to fraction form
    605.27/911.94 = 547.56/x
  3. Step 3: Cross multiply
    605.27x = 911.94 × 547.56
  4. Step 4: Simplify right side
    605.27x = 499,341.87
  5. Step 5: Solve for x
    x = 499,341.87/605.27
  6. Step 6: Final answer
    x = 825.00

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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.