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Finding the Fourth Proportional to 890.27, 1,228.07 and 517.21

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Solution

The fourth proportional to 890.27, 1,228.07 and 517.21 is: 713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.27 : 1,228.07 = 517.21 : x
  2. Step 2: Convert to fraction form
    890.27/1,228.07 = 517.21/x
  3. Step 3: Cross multiply
    890.27x = 1,228.07 × 517.21
  4. Step 4: Simplify right side
    890.27x = 635,164.43
  5. Step 5: Solve for x
    x = 635,164.43/890.27
  6. Step 6: Final answer
    x = 713.45

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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.