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Finding the Fourth Proportional to 890.88, 1,229.09 and 559.19

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Solution

The fourth proportional to 890.88, 1,229.09 and 559.19 is: 771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.88 : 1,229.09 = 559.19 : x
  2. Step 2: Convert to fraction form
    890.88/1,229.09 = 559.19/x
  3. Step 3: Cross multiply
    890.88x = 1,229.09 × 559.19
  4. Step 4: Simplify right side
    890.88x = 687,294.84
  5. Step 5: Solve for x
    x = 687,294.84/890.88
  6. Step 6: Final answer
    x = 771.48

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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.