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Finding the Fourth Proportional to 689.74, 1,034.82 and 416.17

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Solution

The fourth proportional to 689.74, 1,034.82 and 416.17 is: 624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.74 : 1,034.82 = 416.17 : x
  2. Step 2: Convert to fraction form
    689.74/1,034.82 = 416.17/x
  3. Step 3: Cross multiply
    689.74x = 1,034.82 × 416.17
  4. Step 4: Simplify right side
    689.74x = 430,661.04
  5. Step 5: Solve for x
    x = 430,661.04/689.74
  6. Step 6: Final answer
    x = 624.38

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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.