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Finding the Fourth Proportional to 689.13, 1,033.58 and 250.29

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Solution

The fourth proportional to 689.13, 1,033.58 and 250.29 is: 375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.13 : 1,033.58 = 250.29 : x
  2. Step 2: Convert to fraction form
    689.13/1,033.58 = 250.29/x
  3. Step 3: Cross multiply
    689.13x = 1,033.58 × 250.29
  4. Step 4: Simplify right side
    689.13x = 258,693.49
  5. Step 5: Solve for x
    x = 258,693.49/689.13
  6. Step 6: Final answer
    x = 375.39

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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.