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Finding the Fourth Proportional to 986.54, 1,357.23 and 959.20

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Solution

The fourth proportional to 986.54, 1,357.23 and 959.20 is: 1,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.54 : 1,357.23 = 959.20 : x
  2. Step 2: Convert to fraction form
    986.54/1,357.23 = 959.20/x
  3. Step 3: Cross multiply
    986.54x = 1,357.23 × 959.20
  4. Step 4: Simplify right side
    986.54x = 1,301,855.02
  5. Step 5: Solve for x
    x = 1,301,855.02/986.54
  6. Step 6: Final answer
    x = 1,319.62

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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.