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Finding the Fourth Proportional to 689.67, 1,034.33 and 202.76

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Solution

The fourth proportional to 689.67, 1,034.33 and 202.76 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.67 : 1,034.33 = 202.76 : x
  2. Step 2: Convert to fraction form
    689.67/1,034.33 = 202.76/x
  3. Step 3: Cross multiply
    689.67x = 1,034.33 × 202.76
  4. Step 4: Simplify right side
    689.67x = 209,714.57
  5. Step 5: Solve for x
    x = 209,714.57/689.67
  6. Step 6: Final answer
    x = 304.08

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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.