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Finding the Fourth Proportional to 1,599.19, 2,397.85 and 733.03

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Solution

The fourth proportional to 1,599.19, 2,397.85 and 733.03 is: 1,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.19 : 2,397.85 = 733.03 : x
  2. Step 2: Convert to fraction form
    1,599.19/2,397.85 = 733.03/x
  3. Step 3: Cross multiply
    1,599.19x = 2,397.85 × 733.03
  4. Step 4: Simplify right side
    1,599.19x = 1,757,695.99
  5. Step 5: Solve for x
    x = 1,757,695.99/1,599.19
  6. Step 6: Final answer
    x = 1,099.12

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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.