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Finding the Fourth Proportional to 1,203.14, 1,660.39 and 731.36

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Solution

The fourth proportional to 1,203.14, 1,660.39 and 731.36 is: 1,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.14 : 1,660.39 = 731.36 : x
  2. Step 2: Convert to fraction form
    1,203.14/1,660.39 = 731.36/x
  3. Step 3: Cross multiply
    1,203.14x = 1,660.39 × 731.36
  4. Step 4: Simplify right side
    1,203.14x = 1,214,342.83
  5. Step 5: Solve for x
    x = 1,214,342.83/1,203.14
  6. Step 6: Final answer
    x = 1,009.31

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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.