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Finding the Fourth Proportional to 1,184.36, 1,633.91 and 687.02

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Solution

The fourth proportional to 1,184.36, 1,633.91 and 687.02 is: 947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.36 : 1,633.91 = 687.02 : x
  2. Step 2: Convert to fraction form
    1,184.36/1,633.91 = 687.02/x
  3. Step 3: Cross multiply
    1,184.36x = 1,633.91 × 687.02
  4. Step 4: Simplify right side
    1,184.36x = 1,122,517.24
  5. Step 5: Solve for x
    x = 1,122,517.24/1,184.36
  6. Step 6: Final answer
    x = 947.79

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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.