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Finding the Fourth Proportional to 1,086.72, 1,499.69 and 644.61

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Solution

The fourth proportional to 1,086.72, 1,499.69 and 644.61 is: 889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.72 : 1,499.69 = 644.61 : x
  2. Step 2: Convert to fraction form
    1,086.72/1,499.69 = 644.61/x
  3. Step 3: Cross multiply
    1,086.72x = 1,499.69 × 644.61
  4. Step 4: Simplify right side
    1,086.72x = 966,712.16
  5. Step 5: Solve for x
    x = 966,712.16/1,086.72
  6. Step 6: Final answer
    x = 889.57

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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.