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Finding the Fourth Proportional to 1,255.50, 1,732.80 and 731.54

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Solution

The fourth proportional to 1,255.50, 1,732.80 and 731.54 is: 1,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.50 : 1,732.80 = 731.54 : x
  2. Step 2: Convert to fraction form
    1,255.50/1,732.80 = 731.54/x
  3. Step 3: Cross multiply
    1,255.50x = 1,732.80 × 731.54
  4. Step 4: Simplify right side
    1,255.50x = 1,267,606.59
  5. Step 5: Solve for x
    x = 1,267,606.59/1,255.50
  6. Step 6: Final answer
    x = 1,009.64

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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.