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Finding the Fourth Proportional to 684.10, 1,027.23 and 540.46

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Solution

The fourth proportional to 684.10, 1,027.23 and 540.46 is: 811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.10 : 1,027.23 = 540.46 : x
  2. Step 2: Convert to fraction form
    684.10/1,027.23 = 540.46/x
  3. Step 3: Cross multiply
    684.10x = 1,027.23 × 540.46
  4. Step 4: Simplify right side
    684.10x = 555,176.73
  5. Step 5: Solve for x
    x = 555,176.73/684.10
  6. Step 6: Final answer
    x = 811.54

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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.