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Finding the Fourth Proportional to 789.09, 1,088.89 and 439.75

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Solution

The fourth proportional to 789.09, 1,088.89 and 439.75 is: 606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.09 : 1,088.89 = 439.75 : x
  2. Step 2: Convert to fraction form
    789.09/1,088.89 = 439.75/x
  3. Step 3: Cross multiply
    789.09x = 1,088.89 × 439.75
  4. Step 4: Simplify right side
    789.09x = 478,839.38
  5. Step 5: Solve for x
    x = 478,839.38/789.09
  6. Step 6: Final answer
    x = 606.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.