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Finding the Fourth Proportional to 1,067.37, 1,602.05 and 657.31

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Solution

The fourth proportional to 1,067.37, 1,602.05 and 657.31 is: 986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.37 : 1,602.05 = 657.31 : x
  2. Step 2: Convert to fraction form
    1,067.37/1,602.05 = 657.31/x
  3. Step 3: Cross multiply
    1,067.37x = 1,602.05 × 657.31
  4. Step 4: Simplify right side
    1,067.37x = 1,053,040.24
  5. Step 5: Solve for x
    x = 1,053,040.24/1,067.37
  6. Step 6: Final answer
    x = 986.58

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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.