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Finding the Fourth Proportional to 1,199.31, 1,799.57 and 622.18

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Solution

The fourth proportional to 1,199.31, 1,799.57 and 622.18 is: 933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.31 : 1,799.57 = 622.18 : x
  2. Step 2: Convert to fraction form
    1,199.31/1,799.57 = 622.18/x
  3. Step 3: Cross multiply
    1,199.31x = 1,799.57 × 622.18
  4. Step 4: Simplify right side
    1,199.31x = 1,119,656.46
  5. Step 5: Solve for x
    x = 1,119,656.46/1,199.31
  6. Step 6: Final answer
    x = 933.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.