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Finding the Fourth Proportional to 1,217.22, 1,679.83 and 693.15

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Solution

The fourth proportional to 1,217.22, 1,679.83 and 693.15 is: 956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.22 : 1,679.83 = 693.15 : x
  2. Step 2: Convert to fraction form
    1,217.22/1,679.83 = 693.15/x
  3. Step 3: Cross multiply
    1,217.22x = 1,679.83 × 693.15
  4. Step 4: Simplify right side
    1,217.22x = 1,164,374.16
  5. Step 5: Solve for x
    x = 1,164,374.16/1,217.22
  6. Step 6: Final answer
    x = 956.58

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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.