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Finding the Fourth Proportional to 689.88, 1,034.82 and 401.52

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Solution

The fourth proportional to 689.88, 1,034.82 and 401.52 is: 602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.88 : 1,034.82 = 401.52 : x
  2. Step 2: Convert to fraction form
    689.88/1,034.82 = 401.52/x
  3. Step 3: Cross multiply
    689.88x = 1,034.82 × 401.52
  4. Step 4: Simplify right side
    689.88x = 415,500.93
  5. Step 5: Solve for x
    x = 415,500.93/689.88
  6. Step 6: Final answer
    x = 602.28

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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.