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Finding the Fourth Proportional to 993.94, 1,487.86 and 820.19

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Solution

The fourth proportional to 993.94, 1,487.86 and 820.19 is: 1,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.94 : 1,487.86 = 820.19 : x
  2. Step 2: Convert to fraction form
    993.94/1,487.86 = 820.19/x
  3. Step 3: Cross multiply
    993.94x = 1,487.86 × 820.19
  4. Step 4: Simplify right side
    993.94x = 1,220,327.89
  5. Step 5: Solve for x
    x = 1,220,327.89/993.94
  6. Step 6: Final answer
    x = 1,227.77

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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.