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Finding the Fourth Proportional to 689.01, 1,033.97 and 278.07

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Solution

The fourth proportional to 689.01, 1,033.97 and 278.07 is: 417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.01 : 1,033.97 = 278.07 : x
  2. Step 2: Convert to fraction form
    689.01/1,033.97 = 278.07/x
  3. Step 3: Cross multiply
    689.01x = 1,033.97 × 278.07
  4. Step 4: Simplify right side
    689.01x = 287,514.65
  5. Step 5: Solve for x
    x = 287,514.65/689.01
  6. Step 6: Final answer
    x = 417.29

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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.