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Finding the Fourth Proportional to 754.27, 1,041.49 and 505.80

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Solution

The fourth proportional to 754.27, 1,041.49 and 505.80 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.27 : 1,041.49 = 505.80 : x
  2. Step 2: Convert to fraction form
    754.27/1,041.49 = 505.80/x
  3. Step 3: Cross multiply
    754.27x = 1,041.49 × 505.80
  4. Step 4: Simplify right side
    754.27x = 526,786.27
  5. Step 5: Solve for x
    x = 526,786.27/754.27
  6. Step 6: Final answer
    x = 698.41

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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.