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Finding the Fourth Proportional to 986.73, 1,477.49 and 596.22

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Solution

The fourth proportional to 986.73, 1,477.49 and 596.22 is: 892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.73 : 1,477.49 = 596.22 : x
  2. Step 2: Convert to fraction form
    986.73/1,477.49 = 596.22/x
  3. Step 3: Cross multiply
    986.73x = 1,477.49 × 596.22
  4. Step 4: Simplify right side
    986.73x = 880,909.09
  5. Step 5: Solve for x
    x = 880,909.09/986.73
  6. Step 6: Final answer
    x = 892.76

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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.