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Finding the Fourth Proportional to 1,086.46, 1,498.82 and 644.11

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Solution

The fourth proportional to 1,086.46, 1,498.82 and 644.11 is: 888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.46 : 1,498.82 = 644.11 : x
  2. Step 2: Convert to fraction form
    1,086.46/1,498.82 = 644.11/x
  3. Step 3: Cross multiply
    1,086.46x = 1,498.82 × 644.11
  4. Step 4: Simplify right side
    1,086.46x = 965,397.98
  5. Step 5: Solve for x
    x = 965,397.98/1,086.46
  6. Step 6: Final answer
    x = 888.57

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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.