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Finding the Fourth Proportional to 689.79, 1,034.34 and 250.98

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Solution

The fourth proportional to 689.79, 1,034.34 and 250.98 is: 376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.79 : 1,034.34 = 250.98 : x
  2. Step 2: Convert to fraction form
    689.79/1,034.34 = 250.98/x
  3. Step 3: Cross multiply
    689.79x = 1,034.34 × 250.98
  4. Step 4: Simplify right side
    689.79x = 259,598.65
  5. Step 5: Solve for x
    x = 259,598.65/689.79
  6. Step 6: Final answer
    x = 376.34

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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.