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Finding the Fourth Proportional to 680.85, 1,019.12 and 355.77

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Solution

The fourth proportional to 680.85, 1,019.12 and 355.77 is: 532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.85 : 1,019.12 = 355.77 : x
  2. Step 2: Convert to fraction form
    680.85/1,019.12 = 355.77/x
  3. Step 3: Cross multiply
    680.85x = 1,019.12 × 355.77
  4. Step 4: Simplify right side
    680.85x = 362,570.54
  5. Step 5: Solve for x
    x = 362,570.54/680.85
  6. Step 6: Final answer
    x = 532.53

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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.