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Finding the Fourth Proportional to 986.68, 1,361.84 and 594

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Solution

The fourth proportional to 986.68, 1,361.84 and 594 is: 819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.68 : 1,361.84 = 594 : x
  2. Step 2: Convert to fraction form
    986.68/1,361.84 = 594/x
  3. Step 3: Cross multiply
    986.68x = 1,361.84 × 594
  4. Step 4: Simplify right side
    986.68x = 808,932.96
  5. Step 5: Solve for x
    x = 808,932.96/986.68
  6. Step 6: Final answer
    x = 819.85

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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.