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Finding the Fourth Proportional to 1,089.71, 1,634.87 and 440.90

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Solution

The fourth proportional to 1,089.71, 1,634.87 and 440.90 is: 661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.71 : 1,634.87 = 440.90 : x
  2. Step 2: Convert to fraction form
    1,089.71/1,634.87 = 440.90/x
  3. Step 3: Cross multiply
    1,089.71x = 1,634.87 × 440.90
  4. Step 4: Simplify right side
    1,089.71x = 720,814.18
  5. Step 5: Solve for x
    x = 720,814.18/1,089.71
  6. Step 6: Final answer
    x = 661.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.