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Finding the Fourth Proportional to 890.22, 1,228.48 and 517.22

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Solution

The fourth proportional to 890.22, 1,228.48 and 517.22 is: 713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.22 : 1,228.48 = 517.22 : x
  2. Step 2: Convert to fraction form
    890.22/1,228.48 = 517.22/x
  3. Step 3: Cross multiply
    890.22x = 1,228.48 × 517.22
  4. Step 4: Simplify right side
    890.22x = 635,394.43
  5. Step 5: Solve for x
    x = 635,394.43/890.22
  6. Step 6: Final answer
    x = 713.75

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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.