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Finding the Fourth Proportional to 811.87, 1,120.27 and 457.73

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Solution

The fourth proportional to 811.87, 1,120.27 and 457.73 is: 631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.87 : 1,120.27 = 457.73 : x
  2. Step 2: Convert to fraction form
    811.87/1,120.27 = 457.73/x
  3. Step 3: Cross multiply
    811.87x = 1,120.27 × 457.73
  4. Step 4: Simplify right side
    811.87x = 512,781.19
  5. Step 5: Solve for x
    x = 512,781.19/811.87
  6. Step 6: Final answer
    x = 631.61

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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.