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Finding the Fourth Proportional to 889.85, 1,228.01 and 496.90

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Solution

The fourth proportional to 889.85, 1,228.01 and 496.90 is: 685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.85 : 1,228.01 = 496.90 : x
  2. Step 2: Convert to fraction form
    889.85/1,228.01 = 496.90/x
  3. Step 3: Cross multiply
    889.85x = 1,228.01 × 496.90
  4. Step 4: Simplify right side
    889.85x = 610,198.17
  5. Step 5: Solve for x
    x = 610,198.17/889.85
  6. Step 6: Final answer
    x = 685.73

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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.