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Finding the Fourth Proportional to 986.50, 1,361.38 and 593.53

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Solution

The fourth proportional to 986.50, 1,361.38 and 593.53 is: 819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.50 : 1,361.38 = 593.53 : x
  2. Step 2: Convert to fraction form
    986.50/1,361.38 = 593.53/x
  3. Step 3: Cross multiply
    986.50x = 1,361.38 × 593.53
  4. Step 4: Simplify right side
    986.50x = 808,019.87
  5. Step 5: Solve for x
    x = 808,019.87/986.50
  6. Step 6: Final answer
    x = 819.08

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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.