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Finding the Fourth Proportional to 680.24, 1,019.14 and 350.78

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Solution

The fourth proportional to 680.24, 1,019.14 and 350.78 is: 525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.24 : 1,019.14 = 350.78 : x
  2. Step 2: Convert to fraction form
    680.24/1,019.14 = 350.78/x
  3. Step 3: Cross multiply
    680.24x = 1,019.14 × 350.78
  4. Step 4: Simplify right side
    680.24x = 357,493.93
  5. Step 5: Solve for x
    x = 357,493.93/680.24
  6. Step 6: Final answer
    x = 525.54

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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.