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Finding the Fourth Proportional to 1,309.69, 1,963.23 and 487.72

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Solution

The fourth proportional to 1,309.69, 1,963.23 and 487.72 is: 731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.69 : 1,963.23 = 487.72 : x
  2. Step 2: Convert to fraction form
    1,309.69/1,963.23 = 487.72/x
  3. Step 3: Cross multiply
    1,309.69x = 1,963.23 × 487.72
  4. Step 4: Simplify right side
    1,309.69x = 957,506.54
  5. Step 5: Solve for x
    x = 957,506.54/1,309.69
  6. Step 6: Final answer
    x = 731.09

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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.