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Finding the Fourth Proportional to 1,129.69, 1,694.07 and 512.23

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Solution

The fourth proportional to 1,129.69, 1,694.07 and 512.23 is: 768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.69 : 1,694.07 = 512.23 : x
  2. Step 2: Convert to fraction form
    1,129.69/1,694.07 = 512.23/x
  3. Step 3: Cross multiply
    1,129.69x = 1,694.07 × 512.23
  4. Step 4: Simplify right side
    1,129.69x = 867,753.48
  5. Step 5: Solve for x
    x = 867,753.48/1,129.69
  6. Step 6: Final answer
    x = 768.13

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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.