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Finding the Fourth Proportional to 680.43, 1,019.70 and 391.26

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Solution

The fourth proportional to 680.43, 1,019.70 and 391.26 is: 586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.43 : 1,019.70 = 391.26 : x
  2. Step 2: Convert to fraction form
    680.43/1,019.70 = 391.26/x
  3. Step 3: Cross multiply
    680.43x = 1,019.70 × 391.26
  4. Step 4: Simplify right side
    680.43x = 398,967.82
  5. Step 5: Solve for x
    x = 398,967.82/680.43
  6. Step 6: Final answer
    x = 586.35

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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.