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Finding the Fourth Proportional to 680.27, 1,020.18 and 474.94

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Solution

The fourth proportional to 680.27, 1,020.18 and 474.94 is: 712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 1,020.18 = 474.94 : x
  2. Step 2: Convert to fraction form
    680.27/1,020.18 = 474.94/x
  3. Step 3: Cross multiply
    680.27x = 1,020.18 × 474.94
  4. Step 4: Simplify right side
    680.27x = 484,524.29
  5. Step 5: Solve for x
    x = 484,524.29/680.27
  6. Step 6: Final answer
    x = 712.25

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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.