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Finding the Fourth Proportional to 883.83, 1,220.84 and 672.73

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Solution

The fourth proportional to 883.83, 1,220.84 and 672.73 is: 929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.83 : 1,220.84 = 672.73 : x
  2. Step 2: Convert to fraction form
    883.83/1,220.84 = 672.73/x
  3. Step 3: Cross multiply
    883.83x = 1,220.84 × 672.73
  4. Step 4: Simplify right side
    883.83x = 821,291.80
  5. Step 5: Solve for x
    x = 821,291.80/883.83
  6. Step 6: Final answer
    x = 929.24

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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.