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Finding the Fourth Proportional to 986.19, 1,361.07 and 593.43

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Solution

The fourth proportional to 986.19, 1,361.07 and 593.43 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.19 : 1,361.07 = 593.43 : x
  2. Step 2: Convert to fraction form
    986.19/1,361.07 = 593.43/x
  3. Step 3: Cross multiply
    986.19x = 1,361.07 × 593.43
  4. Step 4: Simplify right side
    986.19x = 807,699.77
  5. Step 5: Solve for x
    x = 807,699.77/986.19
  6. Step 6: Final answer
    x = 819.01

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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.