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Finding the Fourth Proportional to 1,199.50, 1,797.91 and 505.96

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Solution

The fourth proportional to 1,199.50, 1,797.91 and 505.96 is: 758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.50 : 1,797.91 = 505.96 : x
  2. Step 2: Convert to fraction form
    1,199.50/1,797.91 = 505.96/x
  3. Step 3: Cross multiply
    1,199.50x = 1,797.91 × 505.96
  4. Step 4: Simplify right side
    1,199.50x = 909,664.78
  5. Step 5: Solve for x
    x = 909,664.78/1,199.50
  6. Step 6: Final answer
    x = 758.37

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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.