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Finding the Fourth Proportional to 680.67, 1,019.12 and 350.91

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Solution

The fourth proportional to 680.67, 1,019.12 and 350.91 is: 525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.67 : 1,019.12 = 350.91 : x
  2. Step 2: Convert to fraction form
    680.67/1,019.12 = 350.91/x
  3. Step 3: Cross multiply
    680.67x = 1,019.12 × 350.91
  4. Step 4: Simplify right side
    680.67x = 357,617.64
  5. Step 5: Solve for x
    x = 357,617.64/680.67
  6. Step 6: Final answer
    x = 525.39

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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.