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Finding the Fourth Proportional to 890.71, 1,229.79 and 559.30

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Solution

The fourth proportional to 890.71, 1,229.79 and 559.30 is: 772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.71 : 1,229.79 = 559.30 : x
  2. Step 2: Convert to fraction form
    890.71/1,229.79 = 559.30/x
  3. Step 3: Cross multiply
    890.71x = 1,229.79 × 559.30
  4. Step 4: Simplify right side
    890.71x = 687,821.55
  5. Step 5: Solve for x
    x = 687,821.55/890.71
  6. Step 6: Final answer
    x = 772.22

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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.