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Finding the Fourth Proportional to 890.56, 1,229.16 and 596.32

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Solution

The fourth proportional to 890.56, 1,229.16 and 596.32 is: 823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.56 : 1,229.16 = 596.32 : x
  2. Step 2: Convert to fraction form
    890.56/1,229.16 = 596.32/x
  3. Step 3: Cross multiply
    890.56x = 1,229.16 × 596.32
  4. Step 4: Simplify right side
    890.56x = 732,972.69
  5. Step 5: Solve for x
    x = 732,972.69/890.56
  6. Step 6: Final answer
    x = 823.05

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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.