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Finding the Fourth Proportional to 689.08, 1,033.82 and 278.01

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Solution

The fourth proportional to 689.08, 1,033.82 and 278.01 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.08 : 1,033.82 = 278.01 : x
  2. Step 2: Convert to fraction form
    689.08/1,033.82 = 278.01/x
  3. Step 3: Cross multiply
    689.08x = 1,033.82 × 278.01
  4. Step 4: Simplify right side
    689.08x = 287,407.13
  5. Step 5: Solve for x
    x = 287,407.13/689.08
  6. Step 6: Final answer
    x = 417.09

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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.