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Finding the Fourth Proportional to 1,217.56, 1,680.20 and 693.64

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Solution

The fourth proportional to 1,217.56, 1,680.20 and 693.64 is: 957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.56 : 1,680.20 = 693.64 : x
  2. Step 2: Convert to fraction form
    1,217.56/1,680.20 = 693.64/x
  3. Step 3: Cross multiply
    1,217.56x = 1,680.20 × 693.64
  4. Step 4: Simplify right side
    1,217.56x = 1,165,453.93
  5. Step 5: Solve for x
    x = 1,165,453.93/1,217.56
  6. Step 6: Final answer
    x = 957.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.