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Finding the Fourth Proportional to 1,067.30, 1,472.64 and 674.84

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Solution

The fourth proportional to 1,067.30, 1,472.64 and 674.84 is: 931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.30 : 1,472.64 = 674.84 : x
  2. Step 2: Convert to fraction form
    1,067.30/1,472.64 = 674.84/x
  3. Step 3: Cross multiply
    1,067.30x = 1,472.64 × 674.84
  4. Step 4: Simplify right side
    1,067.30x = 993,796.38
  5. Step 5: Solve for x
    x = 993,796.38/1,067.30
  6. Step 6: Final answer
    x = 931.13

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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.