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Finding the Fourth Proportional to 684.82, 1,025.40 and 410.54

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Solution

The fourth proportional to 684.82, 1,025.40 and 410.54 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.82 : 1,025.40 = 410.54 : x
  2. Step 2: Convert to fraction form
    684.82/1,025.40 = 410.54/x
  3. Step 3: Cross multiply
    684.82x = 1,025.40 × 410.54
  4. Step 4: Simplify right side
    684.82x = 420,962.59
  5. Step 5: Solve for x
    x = 420,962.59/684.82
  6. Step 6: Final answer
    x = 614.71

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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.