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Finding the Fourth Proportional to 986.50, 1,361.37 and 593.52

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Solution

The fourth proportional to 986.50, 1,361.37 and 593.52 is: 819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.50 : 1,361.37 = 593.52 : x
  2. Step 2: Convert to fraction form
    986.50/1,361.37 = 593.52/x
  3. Step 3: Cross multiply
    986.50x = 1,361.37 × 593.52
  4. Step 4: Simplify right side
    986.50x = 808,000.32
  5. Step 5: Solve for x
    x = 808,000.32/986.50
  6. Step 6: Final answer
    x = 819.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.