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Finding the Fourth Proportional to 684.32, 937.79 and 618.71

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Solution

The fourth proportional to 684.32, 937.79 and 618.71 is: 847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.32 : 937.79 = 618.71 : x
  2. Step 2: Convert to fraction form
    684.32/937.79 = 618.71/x
  3. Step 3: Cross multiply
    684.32x = 937.79 × 618.71
  4. Step 4: Simplify right side
    684.32x = 580,220.05
  5. Step 5: Solve for x
    x = 580,220.05/684.32
  6. Step 6: Final answer
    x = 847.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.