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Finding the Fourth Proportional to 890.37, 1,227.99 and 575.64

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Solution

The fourth proportional to 890.37, 1,227.99 and 575.64 is: 793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.37 : 1,227.99 = 575.64 : x
  2. Step 2: Convert to fraction form
    890.37/1,227.99 = 575.64/x
  3. Step 3: Cross multiply
    890.37x = 1,227.99 × 575.64
  4. Step 4: Simplify right side
    890.37x = 706,882.65
  5. Step 5: Solve for x
    x = 706,882.65/890.37
  6. Step 6: Final answer
    x = 793.92

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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.