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Finding the Fourth Proportional to 1,086.86, 1,499.67 and 644.87

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Solution

The fourth proportional to 1,086.86, 1,499.67 and 644.87 is: 889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.86 : 1,499.67 = 644.87 : x
  2. Step 2: Convert to fraction form
    1,086.86/1,499.67 = 644.87/x
  3. Step 3: Cross multiply
    1,086.86x = 1,499.67 × 644.87
  4. Step 4: Simplify right side
    1,086.86x = 967,084.69
  5. Step 5: Solve for x
    x = 967,084.69/1,086.86
  6. Step 6: Final answer
    x = 889.80

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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.