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Finding the Fourth Proportional to 1,067.67, 1,602 and 580.14

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Solution

The fourth proportional to 1,067.67, 1,602 and 580.14 is: 870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.67 : 1,602 = 580.14 : x
  2. Step 2: Convert to fraction form
    1,067.67/1,602 = 580.14/x
  3. Step 3: Cross multiply
    1,067.67x = 1,602 × 580.14
  4. Step 4: Simplify right side
    1,067.67x = 929,384.28
  5. Step 5: Solve for x
    x = 929,384.28/1,067.67
  6. Step 6: Final answer
    x = 870.48

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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.