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Finding the Fourth Proportional to 689.05, 1,033.53 and 277.69

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Solution

The fourth proportional to 689.05, 1,033.53 and 277.69 is: 416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.05 : 1,033.53 = 277.69 : x
  2. Step 2: Convert to fraction form
    689.05/1,033.53 = 277.69/x
  3. Step 3: Cross multiply
    689.05x = 1,033.53 × 277.69
  4. Step 4: Simplify right side
    689.05x = 287,000.95
  5. Step 5: Solve for x
    x = 287,000.95/689.05
  6. Step 6: Final answer
    x = 416.52

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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.