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Finding the Fourth Proportional to 763.49, 1,143.37 and 689.54

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Solution

The fourth proportional to 763.49, 1,143.37 and 689.54 is: 1,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.49 : 1,143.37 = 689.54 : x
  2. Step 2: Convert to fraction form
    763.49/1,143.37 = 689.54/x
  3. Step 3: Cross multiply
    763.49x = 1,143.37 × 689.54
  4. Step 4: Simplify right side
    763.49x = 788,390.62
  5. Step 5: Solve for x
    x = 788,390.62/763.49
  6. Step 6: Final answer
    x = 1,032.61

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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.