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Finding the Fourth Proportional to 890.43, 1,229.40 and 596.55

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Solution

The fourth proportional to 890.43, 1,229.40 and 596.55 is: 823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.43 : 1,229.40 = 596.55 : x
  2. Step 2: Convert to fraction form
    890.43/1,229.40 = 596.55/x
  3. Step 3: Cross multiply
    890.43x = 1,229.40 × 596.55
  4. Step 4: Simplify right side
    890.43x = 733,398.57
  5. Step 5: Solve for x
    x = 733,398.57/890.43
  6. Step 6: Final answer
    x = 823.65

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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.