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Finding the Fourth Proportional to 1,086.24, 1,498.80 and 644.29

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Solution

The fourth proportional to 1,086.24, 1,498.80 and 644.29 is: 888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.24 : 1,498.80 = 644.29 : x
  2. Step 2: Convert to fraction form
    1,086.24/1,498.80 = 644.29/x
  3. Step 3: Cross multiply
    1,086.24x = 1,498.80 × 644.29
  4. Step 4: Simplify right side
    1,086.24x = 965,660.52
  5. Step 5: Solve for x
    x = 965,660.52/1,086.24
  6. Step 6: Final answer
    x = 888.99

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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.