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Finding the Fourth Proportional to 802.31, 1,107.41 and 763.09

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Solution

The fourth proportional to 802.31, 1,107.41 and 763.09 is: 1,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.31 : 1,107.41 = 763.09 : x
  2. Step 2: Convert to fraction form
    802.31/1,107.41 = 763.09/x
  3. Step 3: Cross multiply
    802.31x = 1,107.41 × 763.09
  4. Step 4: Simplify right side
    802.31x = 845,046.91
  5. Step 5: Solve for x
    x = 845,046.91/802.31
  6. Step 6: Final answer
    x = 1,053.27

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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.