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Finding the Fourth Proportional to 931.96, 1,286.10 and 512.30

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Solution

The fourth proportional to 931.96, 1,286.10 and 512.30 is: 706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.96 : 1,286.10 = 512.30 : x
  2. Step 2: Convert to fraction form
    931.96/1,286.10 = 512.30/x
  3. Step 3: Cross multiply
    931.96x = 1,286.10 × 512.30
  4. Step 4: Simplify right side
    931.96x = 658,869.03
  5. Step 5: Solve for x
    x = 658,869.03/931.96
  6. Step 6: Final answer
    x = 706.97

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Double scale
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1.5x scale

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.