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Finding the Fourth Proportional to 1,067.25, 1,598.14 and 604.34

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Solution

The fourth proportional to 1,067.25, 1,598.14 and 604.34 is: 904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.25 : 1,598.14 = 604.34 : x
  2. Step 2: Convert to fraction form
    1,067.25/1,598.14 = 604.34/x
  3. Step 3: Cross multiply
    1,067.25x = 1,598.14 × 604.34
  4. Step 4: Simplify right side
    1,067.25x = 965,819.93
  5. Step 5: Solve for x
    x = 965,819.93/1,067.25
  6. Step 6: Final answer
    x = 904.96

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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.