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Finding the Fourth Proportional to 689.74, 1,034.12 and 552.74

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Solution

The fourth proportional to 689.74, 1,034.12 and 552.74 is: 828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.74 : 1,034.12 = 552.74 : x
  2. Step 2: Convert to fraction form
    689.74/1,034.12 = 552.74/x
  3. Step 3: Cross multiply
    689.74x = 1,034.12 × 552.74
  4. Step 4: Simplify right side
    689.74x = 571,599.49
  5. Step 5: Solve for x
    x = 571,599.49/689.74
  6. Step 6: Final answer
    x = 828.72

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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.