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Finding the Fourth Proportional to 684.72, 937.34 and 682.44

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Solution

The fourth proportional to 684.72, 937.34 and 682.44 is: 934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 937.34 = 682.44 : x
  2. Step 2: Convert to fraction form
    684.72/937.34 = 682.44/x
  3. Step 3: Cross multiply
    684.72x = 937.34 × 682.44
  4. Step 4: Simplify right side
    684.72x = 639,678.31
  5. Step 5: Solve for x
    x = 639,678.31/684.72
  6. Step 6: Final answer
    x = 934.22

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Half scale
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Double scale
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1.5x scale

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.