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Finding the Fourth Proportional to 754.26, 1,039.25 and 564.42

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Solution

The fourth proportional to 754.26, 1,039.25 and 564.42 is: 777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.26 : 1,039.25 = 564.42 : x
  2. Step 2: Convert to fraction form
    754.26/1,039.25 = 564.42/x
  3. Step 3: Cross multiply
    754.26x = 1,039.25 × 564.42
  4. Step 4: Simplify right side
    754.26x = 586,570.66
  5. Step 5: Solve for x
    x = 586,570.66/754.26
  6. Step 6: Final answer
    x = 777.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.