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Finding the Fourth Proportional to 986.85, 1,362.06 and 594.09

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Solution

The fourth proportional to 986.85, 1,362.06 and 594.09 is: 819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.85 : 1,362.06 = 594.09 : x
  2. Step 2: Convert to fraction form
    986.85/1,362.06 = 594.09/x
  3. Step 3: Cross multiply
    986.85x = 1,362.06 × 594.09
  4. Step 4: Simplify right side
    986.85x = 809,186.23
  5. Step 5: Solve for x
    x = 809,186.23/986.85
  6. Step 6: Final answer
    x = 819.97

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