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Finding the Fourth Proportional to 890.05, 1,228.40 and 517.15

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Solution

The fourth proportional to 890.05, 1,228.40 and 517.15 is: 713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.05 : 1,228.40 = 517.15 : x
  2. Step 2: Convert to fraction form
    890.05/1,228.40 = 517.15/x
  3. Step 3: Cross multiply
    890.05x = 1,228.40 × 517.15
  4. Step 4: Simplify right side
    890.05x = 635,267.06
  5. Step 5: Solve for x
    x = 635,267.06/890.05
  6. Step 6: Final answer
    x = 713.74

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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.