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Finding the Fourth Proportional to 747.66, 1,121.40 and 199.83

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Solution

The fourth proportional to 747.66, 1,121.40 and 199.83 is: 299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.66 : 1,121.40 = 199.83 : x
  2. Step 2: Convert to fraction form
    747.66/1,121.40 = 199.83/x
  3. Step 3: Cross multiply
    747.66x = 1,121.40 × 199.83
  4. Step 4: Simplify right side
    747.66x = 224,089.36
  5. Step 5: Solve for x
    x = 224,089.36/747.66
  6. Step 6: Final answer
    x = 299.72

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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.