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Finding the Fourth Proportional to 689.80, 952.74 and 550.42

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Solution

The fourth proportional to 689.80, 952.74 and 550.42 is: 760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.80 : 952.74 = 550.42 : x
  2. Step 2: Convert to fraction form
    689.80/952.74 = 550.42/x
  3. Step 3: Cross multiply
    689.80x = 952.74 × 550.42
  4. Step 4: Simplify right side
    689.80x = 524,407.15
  5. Step 5: Solve for x
    x = 524,407.15/689.80
  6. Step 6: Final answer
    x = 760.23

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