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Finding the Fourth Proportional to 1,086.97, 1,500.04 and 644.86

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Solution

The fourth proportional to 1,086.97, 1,500.04 and 644.86 is: 889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.97 : 1,500.04 = 644.86 : x
  2. Step 2: Convert to fraction form
    1,086.97/1,500.04 = 644.86/x
  3. Step 3: Cross multiply
    1,086.97x = 1,500.04 × 644.86
  4. Step 4: Simplify right side
    1,086.97x = 967,308.82
  5. Step 5: Solve for x
    x = 967,308.82/1,086.97
  6. Step 6: Final answer
    x = 889.92

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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.