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Finding the Fourth Proportional to 1,221.83, 1,686.12 and 662.30

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Solution

The fourth proportional to 1,221.83, 1,686.12 and 662.30 is: 913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.83 : 1,686.12 = 662.30 : x
  2. Step 2: Convert to fraction form
    1,221.83/1,686.12 = 662.30/x
  3. Step 3: Cross multiply
    1,221.83x = 1,686.12 × 662.30
  4. Step 4: Simplify right side
    1,221.83x = 1,116,725.89
  5. Step 5: Solve for x
    x = 1,116,725.89/1,221.83
  6. Step 6: Final answer
    x = 913.97

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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.