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Finding the Fourth Proportional to 889.91, 1,228.10 and 496.93

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Solution

The fourth proportional to 889.91, 1,228.10 and 496.93 is: 685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.91 : 1,228.10 = 496.93 : x
  2. Step 2: Convert to fraction form
    889.91/1,228.10 = 496.93/x
  3. Step 3: Cross multiply
    889.91x = 1,228.10 × 496.93
  4. Step 4: Simplify right side
    889.91x = 610,279.73
  5. Step 5: Solve for x
    x = 610,279.73/889.91
  6. Step 6: Final answer
    x = 685.78

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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.