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Finding the Fourth Proportional to 890.16, 1,228.56 and 517.14

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Solution

The fourth proportional to 890.16, 1,228.56 and 517.14 is: 713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.16 : 1,228.56 = 517.14 : x
  2. Step 2: Convert to fraction form
    890.16/1,228.56 = 517.14/x
  3. Step 3: Cross multiply
    890.16x = 1,228.56 × 517.14
  4. Step 4: Simplify right side
    890.16x = 635,337.52
  5. Step 5: Solve for x
    x = 635,337.52/890.16
  6. Step 6: Final answer
    x = 713.73

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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.