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Finding the Fourth Proportional to 684.68, 945.30 and 610.87

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Solution

The fourth proportional to 684.68, 945.30 and 610.87 is: 843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.68 : 945.30 = 610.87 : x
  2. Step 2: Convert to fraction form
    684.68/945.30 = 610.87/x
  3. Step 3: Cross multiply
    684.68x = 945.30 × 610.87
  4. Step 4: Simplify right side
    684.68x = 577,451.90
  5. Step 5: Solve for x
    x = 577,451.90/684.68
  6. Step 6: Final answer
    x = 843.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.