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Finding the Fourth Proportional to 689.38, 1,034.08 and 202.46

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Solution

The fourth proportional to 689.38, 1,034.08 and 202.46 is: 303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.38 : 1,034.08 = 202.46 : x
  2. Step 2: Convert to fraction form
    689.38/1,034.08 = 202.46/x
  3. Step 3: Cross multiply
    689.38x = 1,034.08 × 202.46
  4. Step 4: Simplify right side
    689.38x = 209,354.16
  5. Step 5: Solve for x
    x = 209,354.16/689.38
  6. Step 6: Final answer
    x = 303.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.