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Finding the Fourth Proportional to 986.64, 1,361.80 and 593.40

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Solution

The fourth proportional to 986.64, 1,361.80 and 593.40 is: 819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.64 : 1,361.80 = 593.40 : x
  2. Step 2: Convert to fraction form
    986.64/1,361.80 = 593.40/x
  3. Step 3: Cross multiply
    986.64x = 1,361.80 × 593.40
  4. Step 4: Simplify right side
    986.64x = 808,092.12
  5. Step 5: Solve for x
    x = 808,092.12/986.64
  6. Step 6: Final answer
    x = 819.03

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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.