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Finding the Fourth Proportional to 684.10, 937.92 and 671.80

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Solution

The fourth proportional to 684.10, 937.92 and 671.80 is: 921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.10 : 937.92 = 671.80 : x
  2. Step 2: Convert to fraction form
    684.10/937.92 = 671.80/x
  3. Step 3: Cross multiply
    684.10x = 937.92 × 671.80
  4. Step 4: Simplify right side
    684.10x = 630,094.66
  5. Step 5: Solve for x
    x = 630,094.66/684.10
  6. Step 6: Final answer
    x = 921.06

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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.