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Finding the Fourth Proportional to 1,088.70, 1,634.28 and 439.89

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Solution

The fourth proportional to 1,088.70, 1,634.28 and 439.89 is: 660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.70 : 1,634.28 = 439.89 : x
  2. Step 2: Convert to fraction form
    1,088.70/1,634.28 = 439.89/x
  3. Step 3: Cross multiply
    1,088.70x = 1,634.28 × 439.89
  4. Step 4: Simplify right side
    1,088.70x = 718,903.43
  5. Step 5: Solve for x
    x = 718,903.43/1,088.70
  6. Step 6: Final answer
    x = 660.33

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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.