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Finding the Fourth Proportional to 772.43, 1,066.05 and 457.97

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Solution

The fourth proportional to 772.43, 1,066.05 and 457.97 is: 632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.43 : 1,066.05 = 457.97 : x
  2. Step 2: Convert to fraction form
    772.43/1,066.05 = 457.97/x
  3. Step 3: Cross multiply
    772.43x = 1,066.05 × 457.97
  4. Step 4: Simplify right side
    772.43x = 488,213.59
  5. Step 5: Solve for x
    x = 488,213.59/772.43
  6. Step 6: Final answer
    x = 632.05

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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.