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Finding the Fourth Proportional to 1,203.71, 1,661.23 and 731.49

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Solution

The fourth proportional to 1,203.71, 1,661.23 and 731.49 is: 1,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.71 : 1,661.23 = 731.49 : x
  2. Step 2: Convert to fraction form
    1,203.71/1,661.23 = 731.49/x
  3. Step 3: Cross multiply
    1,203.71x = 1,661.23 × 731.49
  4. Step 4: Simplify right side
    1,203.71x = 1,215,169.48
  5. Step 5: Solve for x
    x = 1,215,169.48/1,203.71
  6. Step 6: Final answer
    x = 1,009.52

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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.