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Finding the Fourth Proportional to 811.94, 1,120.41 and 457.82

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Solution

The fourth proportional to 811.94, 1,120.41 and 457.82 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.94 : 1,120.41 = 457.82 : x
  2. Step 2: Convert to fraction form
    811.94/1,120.41 = 457.82/x
  3. Step 3: Cross multiply
    811.94x = 1,120.41 × 457.82
  4. Step 4: Simplify right side
    811.94x = 512,940.50
  5. Step 5: Solve for x
    x = 512,940.50/811.94
  6. Step 6: Final answer
    x = 631.74

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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.