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Finding the Fourth Proportional to 689.37, 1,034.18 and 250.75

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Solution

The fourth proportional to 689.37, 1,034.18 and 250.75 is: 376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.37 : 1,034.18 = 250.75 : x
  2. Step 2: Convert to fraction form
    689.37/1,034.18 = 250.75/x
  3. Step 3: Cross multiply
    689.37x = 1,034.18 × 250.75
  4. Step 4: Simplify right side
    689.37x = 259,320.64
  5. Step 5: Solve for x
    x = 259,320.64/689.37
  6. Step 6: Final answer
    x = 376.17

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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.