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Finding the Fourth Proportional to 689.07, 1,034.10 and 380.85

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Solution

The fourth proportional to 689.07, 1,034.10 and 380.85 is: 571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.07 : 1,034.10 = 380.85 : x
  2. Step 2: Convert to fraction form
    689.07/1,034.10 = 380.85/x
  3. Step 3: Cross multiply
    689.07x = 1,034.10 × 380.85
  4. Step 4: Simplify right side
    689.07x = 393,836.99
  5. Step 5: Solve for x
    x = 393,836.99/689.07
  6. Step 6: Final answer
    x = 571.55

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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.