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Finding the Fourth Proportional to 689.31, 1,033.96 and 278.44

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Solution

The fourth proportional to 689.31, 1,033.96 and 278.44 is: 417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.31 : 1,033.96 = 278.44 : x
  2. Step 2: Convert to fraction form
    689.31/1,033.96 = 278.44/x
  3. Step 3: Cross multiply
    689.31x = 1,033.96 × 278.44
  4. Step 4: Simplify right side
    689.31x = 287,897.46
  5. Step 5: Solve for x
    x = 287,897.46/689.31
  6. Step 6: Final answer
    x = 417.66

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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.