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Finding the Fourth Proportional to 1,199.34, 1,797.03 and 735.71

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Solution

The fourth proportional to 1,199.34, 1,797.03 and 735.71 is: 1,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.34 : 1,797.03 = 735.71 : x
  2. Step 2: Convert to fraction form
    1,199.34/1,797.03 = 735.71/x
  3. Step 3: Cross multiply
    1,199.34x = 1,797.03 × 735.71
  4. Step 4: Simplify right side
    1,199.34x = 1,322,083.96
  5. Step 5: Solve for x
    x = 1,322,083.96/1,199.34
  6. Step 6: Final answer
    x = 1,102.34

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Why These Related Problems?

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