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Finding the Fourth Proportional to 986.67, 1,361.42 and 593.70

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Solution

The fourth proportional to 986.67, 1,361.42 and 593.70 is: 819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.67 : 1,361.42 = 593.70 : x
  2. Step 2: Convert to fraction form
    986.67/1,361.42 = 593.70/x
  3. Step 3: Cross multiply
    986.67x = 1,361.42 × 593.70
  4. Step 4: Simplify right side
    986.67x = 808,275.05
  5. Step 5: Solve for x
    x = 808,275.05/986.67
  6. Step 6: Final answer
    x = 819.19

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Double scale
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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.