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Finding the Fourth Proportional to 689.82, 1,034.73 and 401.10

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Solution

The fourth proportional to 689.82, 1,034.73 and 401.10 is: 601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 1,034.73 = 401.10 : x
  2. Step 2: Convert to fraction form
    689.82/1,034.73 = 401.10/x
  3. Step 3: Cross multiply
    689.82x = 1,034.73 × 401.10
  4. Step 4: Simplify right side
    689.82x = 415,030.20
  5. Step 5: Solve for x
    x = 415,030.20/689.82
  6. Step 6: Final answer
    x = 601.65

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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.