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Finding the Fourth Proportional to 938.26, 1,294.61 and 689.79

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Solution

The fourth proportional to 938.26, 1,294.61 and 689.79 is: 951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.26 : 1,294.61 = 689.79 : x
  2. Step 2: Convert to fraction form
    938.26/1,294.61 = 689.79/x
  3. Step 3: Cross multiply
    938.26x = 1,294.61 × 689.79
  4. Step 4: Simplify right side
    938.26x = 893,005.58
  5. Step 5: Solve for x
    x = 893,005.58/938.26
  6. Step 6: Final answer
    x = 951.77

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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.