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Finding the Fourth Proportional to 685.74, 1,030.84 and 550.27

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Solution

The fourth proportional to 685.74, 1,030.84 and 550.27 is: 827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.74 : 1,030.84 = 550.27 : x
  2. Step 2: Convert to fraction form
    685.74/1,030.84 = 550.27/x
  3. Step 3: Cross multiply
    685.74x = 1,030.84 × 550.27
  4. Step 4: Simplify right side
    685.74x = 567,240.33
  5. Step 5: Solve for x
    x = 567,240.33/685.74
  6. Step 6: Final answer
    x = 827.19

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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.