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Finding the Fourth Proportional to 680.52, 1,019.64 and 401.52

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Solution

The fourth proportional to 680.52, 1,019.64 and 401.52 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.52 : 1,019.64 = 401.52 : x
  2. Step 2: Convert to fraction form
    680.52/1,019.64 = 401.52/x
  3. Step 3: Cross multiply
    680.52x = 1,019.64 × 401.52
  4. Step 4: Simplify right side
    680.52x = 409,405.85
  5. Step 5: Solve for x
    x = 409,405.85/680.52
  6. Step 6: Final answer
    x = 601.61

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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.