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Finding the Fourth Proportional to 993.69, 1,371.02 and 621.05

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Solution

The fourth proportional to 993.69, 1,371.02 and 621.05 is: 856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.69 : 1,371.02 = 621.05 : x
  2. Step 2: Convert to fraction form
    993.69/1,371.02 = 621.05/x
  3. Step 3: Cross multiply
    993.69x = 1,371.02 × 621.05
  4. Step 4: Simplify right side
    993.69x = 851,467.15
  5. Step 5: Solve for x
    x = 851,467.15/993.69
  6. Step 6: Final answer
    x = 856.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.