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Finding the Fourth Proportional to 1,199.03, 1,797.17 and 505.58

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Solution

The fourth proportional to 1,199.03, 1,797.17 and 505.58 is: 757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.03 : 1,797.17 = 505.58 : x
  2. Step 2: Convert to fraction form
    1,199.03/1,797.17 = 505.58/x
  3. Step 3: Cross multiply
    1,199.03x = 1,797.17 × 505.58
  4. Step 4: Simplify right side
    1,199.03x = 908,601.69
  5. Step 5: Solve for x
    x = 908,601.69/1,199.03
  6. Step 6: Final answer
    x = 757.78

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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.