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Finding the Fourth Proportional to 986.87, 1,362.11 and 593.81

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Solution

The fourth proportional to 986.87, 1,362.11 and 593.81 is: 819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.87 : 1,362.11 = 593.81 : x
  2. Step 2: Convert to fraction form
    986.87/1,362.11 = 593.81/x
  3. Step 3: Cross multiply
    986.87x = 1,362.11 × 593.81
  4. Step 4: Simplify right side
    986.87x = 808,839.43
  5. Step 5: Solve for x
    x = 808,839.43/986.87
  6. Step 6: Final answer
    x = 819.60

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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.