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Finding the Fourth Proportional to 986.98, 1,357.83 and 959.64

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Solution

The fourth proportional to 986.98, 1,357.83 and 959.64 is: 1,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.98 : 1,357.83 = 959.64 : x
  2. Step 2: Convert to fraction form
    986.98/1,357.83 = 959.64/x
  3. Step 3: Cross multiply
    986.98x = 1,357.83 × 959.64
  4. Step 4: Simplify right side
    986.98x = 1,303,027.98
  5. Step 5: Solve for x
    x = 1,303,027.98/986.98
  6. Step 6: Final answer
    x = 1,320.22

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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.