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Finding the Fourth Proportional to 889.65, 1,227.87 and 496.80

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Solution

The fourth proportional to 889.65, 1,227.87 and 496.80 is: 685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.65 : 1,227.87 = 496.80 : x
  2. Step 2: Convert to fraction form
    889.65/1,227.87 = 496.80/x
  3. Step 3: Cross multiply
    889.65x = 1,227.87 × 496.80
  4. Step 4: Simplify right side
    889.65x = 610,005.82
  5. Step 5: Solve for x
    x = 610,005.82/889.65
  6. Step 6: Final answer
    x = 685.67

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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.