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Finding the Fourth Proportional to 1,171.24, 1,615.30 and 728.68

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Solution

The fourth proportional to 1,171.24, 1,615.30 and 728.68 is: 1,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.24 : 1,615.30 = 728.68 : x
  2. Step 2: Convert to fraction form
    1,171.24/1,615.30 = 728.68/x
  3. Step 3: Cross multiply
    1,171.24x = 1,615.30 × 728.68
  4. Step 4: Simplify right side
    1,171.24x = 1,177,036.80
  5. Step 5: Solve for x
    x = 1,177,036.80/1,171.24
  6. Step 6: Final answer
    x = 1,004.95

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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.