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Finding the Fourth Proportional to 890.13, 1,227.11 and 713.62

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Solution

The fourth proportional to 890.13, 1,227.11 and 713.62 is: 983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.13 : 1,227.11 = 713.62 : x
  2. Step 2: Convert to fraction form
    890.13/1,227.11 = 713.62/x
  3. Step 3: Cross multiply
    890.13x = 1,227.11 × 713.62
  4. Step 4: Simplify right side
    890.13x = 875,690.24
  5. Step 5: Solve for x
    x = 875,690.24/890.13
  6. Step 6: Final answer
    x = 983.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.