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Finding the Fourth Proportional to 680.27, 1,017.97 and 589.28

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Solution

The fourth proportional to 680.27, 1,017.97 and 589.28 is: 881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 1,017.97 = 589.28 : x
  2. Step 2: Convert to fraction form
    680.27/1,017.97 = 589.28/x
  3. Step 3: Cross multiply
    680.27x = 1,017.97 × 589.28
  4. Step 4: Simplify right side
    680.27x = 599,869.36
  5. Step 5: Solve for x
    x = 599,869.36/680.27
  6. Step 6: Final answer
    x = 881.81

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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.