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Finding the Fourth Proportional to 763.38, 1,149.21 and 684

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Solution

The fourth proportional to 763.38, 1,149.21 and 684 is: 1,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.38 : 1,149.21 = 684 : x
  2. Step 2: Convert to fraction form
    763.38/1,149.21 = 684/x
  3. Step 3: Cross multiply
    763.38x = 1,149.21 × 684
  4. Step 4: Simplify right side
    763.38x = 786,059.64
  5. Step 5: Solve for x
    x = 786,059.64/763.38
  6. Step 6: Final answer
    x = 1,029.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.