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Finding the Fourth Proportional to 1,088.90, 1,633.65 and 440.09

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Solution

The fourth proportional to 1,088.90, 1,633.65 and 440.09 is: 660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.90 : 1,633.65 = 440.09 : x
  2. Step 2: Convert to fraction form
    1,088.90/1,633.65 = 440.09/x
  3. Step 3: Cross multiply
    1,088.90x = 1,633.65 × 440.09
  4. Step 4: Simplify right side
    1,088.90x = 718,944.86
  5. Step 5: Solve for x
    x = 718,944.86/1,088.90
  6. Step 6: Final answer
    x = 660.25

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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.