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Finding the Fourth Proportional to 689.66, 1,034.69 and 202.71

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Solution

The fourth proportional to 689.66, 1,034.69 and 202.71 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.66 : 1,034.69 = 202.71 : x
  2. Step 2: Convert to fraction form
    689.66/1,034.69 = 202.71/x
  3. Step 3: Cross multiply
    689.66x = 1,034.69 × 202.71
  4. Step 4: Simplify right side
    689.66x = 209,742.01
  5. Step 5: Solve for x
    x = 209,742.01/689.66
  6. Step 6: Final answer
    x = 304.12

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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.