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Finding the Fourth Proportional to 680.47, 1,019.07 and 582.41

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Solution

The fourth proportional to 680.47, 1,019.07 and 582.41 is: 872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.47 : 1,019.07 = 582.41 : x
  2. Step 2: Convert to fraction form
    680.47/1,019.07 = 582.41/x
  3. Step 3: Cross multiply
    680.47x = 1,019.07 × 582.41
  4. Step 4: Simplify right side
    680.47x = 593,514.01
  5. Step 5: Solve for x
    x = 593,514.01/680.47
  6. Step 6: Final answer
    x = 872.22

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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.