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Finding the Fourth Proportional to 1,001.69, 1,382.31 and 553.59

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Solution

The fourth proportional to 1,001.69, 1,382.31 and 553.59 is: 763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.69 : 1,382.31 = 553.59 : x
  2. Step 2: Convert to fraction form
    1,001.69/1,382.31 = 553.59/x
  3. Step 3: Cross multiply
    1,001.69x = 1,382.31 × 553.59
  4. Step 4: Simplify right side
    1,001.69x = 765,233.68
  5. Step 5: Solve for x
    x = 765,233.68/1,001.69
  6. Step 6: Final answer
    x = 763.94

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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.