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Finding the Fourth Proportional to 605.50, 907.69 and 552.06

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Solution

The fourth proportional to 605.50, 907.69 and 552.06 is: 827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.50 : 907.69 = 552.06 : x
  2. Step 2: Convert to fraction form
    605.50/907.69 = 552.06/x
  3. Step 3: Cross multiply
    605.50x = 907.69 × 552.06
  4. Step 4: Simplify right side
    605.50x = 501,099.34
  5. Step 5: Solve for x
    x = 501,099.34/605.50
  6. Step 6: Final answer
    x = 827.58

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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.