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Finding the Fourth Proportional to 890.96, 1,229.44 and 517.82

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Solution

The fourth proportional to 890.96, 1,229.44 and 517.82 is: 714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.96 : 1,229.44 = 517.82 : x
  2. Step 2: Convert to fraction form
    890.96/1,229.44 = 517.82/x
  3. Step 3: Cross multiply
    890.96x = 1,229.44 × 517.82
  4. Step 4: Simplify right side
    890.96x = 636,628.62
  5. Step 5: Solve for x
    x = 636,628.62/890.96
  6. Step 6: Final answer
    x = 714.54

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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.