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Finding the Fourth Proportional to 1,227.69, 1,693.66 and 730.05

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Solution

The fourth proportional to 1,227.69, 1,693.66 and 730.05 is: 1,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.69 : 1,693.66 = 730.05 : x
  2. Step 2: Convert to fraction form
    1,227.69/1,693.66 = 730.05/x
  3. Step 3: Cross multiply
    1,227.69x = 1,693.66 × 730.05
  4. Step 4: Simplify right side
    1,227.69x = 1,236,456.48
  5. Step 5: Solve for x
    x = 1,236,456.48/1,227.69
  6. Step 6: Final answer
    x = 1,007.14

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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.