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Finding the Fourth Proportional to 1,067.78, 1,602.18 and 554.78

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Solution

The fourth proportional to 1,067.78, 1,602.18 and 554.78 is: 832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.78 : 1,602.18 = 554.78 : x
  2. Step 2: Convert to fraction form
    1,067.78/1,602.18 = 554.78/x
  3. Step 3: Cross multiply
    1,067.78x = 1,602.18 × 554.78
  4. Step 4: Simplify right side
    1,067.78x = 888,857.42
  5. Step 5: Solve for x
    x = 888,857.42/1,067.78
  6. Step 6: Final answer
    x = 832.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.