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Finding the Fourth Proportional to 1,067.14, 1,602.54 and 658.69

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Solution

The fourth proportional to 1,067.14, 1,602.54 and 658.69 is: 989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.14 : 1,602.54 = 658.69 : x
  2. Step 2: Convert to fraction form
    1,067.14/1,602.54 = 658.69/x
  3. Step 3: Cross multiply
    1,067.14x = 1,602.54 × 658.69
  4. Step 4: Simplify right side
    1,067.14x = 1,055,577.07
  5. Step 5: Solve for x
    x = 1,055,577.07/1,067.14
  6. Step 6: Final answer
    x = 989.16

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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.