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Finding the Fourth Proportional to 986.35, 1,361.33 and 593.59

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Solution

The fourth proportional to 986.35, 1,361.33 and 593.59 is: 819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.35 : 1,361.33 = 593.59 : x
  2. Step 2: Convert to fraction form
    986.35/1,361.33 = 593.59/x
  3. Step 3: Cross multiply
    986.35x = 1,361.33 × 593.59
  4. Step 4: Simplify right side
    986.35x = 808,071.87
  5. Step 5: Solve for x
    x = 808,071.87/986.35
  6. Step 6: Final answer
    x = 819.25

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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.