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Finding the Fourth Proportional to 680.94, 1,021.39 and 405.19

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Solution

The fourth proportional to 680.94, 1,021.39 and 405.19 is: 607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.94 : 1,021.39 = 405.19 : x
  2. Step 2: Convert to fraction form
    680.94/1,021.39 = 405.19/x
  3. Step 3: Cross multiply
    680.94x = 1,021.39 × 405.19
  4. Step 4: Simplify right side
    680.94x = 413,854.46
  5. Step 5: Solve for x
    x = 413,854.46/680.94
  6. Step 6: Final answer
    x = 607.77

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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.