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Finding the Fourth Proportional to 773, 1,067.08 and 458.20

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Solution

The fourth proportional to 773, 1,067.08 and 458.20 is: 632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    773 : 1,067.08 = 458.20 : x
  2. Step 2: Convert to fraction form
    773/1,067.08 = 458.20/x
  3. Step 3: Cross multiply
    773x = 1,067.08 × 458.20
  4. Step 4: Simplify right side
    773x = 488,936.06
  5. Step 5: Solve for x
    x = 488,936.06/773
  6. Step 6: Final answer
    x = 632.52

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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.