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Finding the Fourth Proportional to 1,221.69, 1,685.91 and 662.14

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Solution

The fourth proportional to 1,221.69, 1,685.91 and 662.14 is: 913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.69 : 1,685.91 = 662.14 : x
  2. Step 2: Convert to fraction form
    1,221.69/1,685.91 = 662.14/x
  3. Step 3: Cross multiply
    1,221.69x = 1,685.91 × 662.14
  4. Step 4: Simplify right side
    1,221.69x = 1,116,308.45
  5. Step 5: Solve for x
    x = 1,116,308.45/1,221.69
  6. Step 6: Final answer
    x = 913.74

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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.