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Finding the Fourth Proportional to 1,680.57, 2,519.31 and 706.74

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Solution

The fourth proportional to 1,680.57, 2,519.31 and 706.74 is: 1,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.57 : 2,519.31 = 706.74 : x
  2. Step 2: Convert to fraction form
    1,680.57/2,519.31 = 706.74/x
  3. Step 3: Cross multiply
    1,680.57x = 2,519.31 × 706.74
  4. Step 4: Simplify right side
    1,680.57x = 1,780,484.55
  5. Step 5: Solve for x
    x = 1,780,484.55/1,680.57
  6. Step 6: Final answer
    x = 1,059.46

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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.