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Finding the Fourth Proportional to 1,222.26, 1,686.80 and 725.00

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Solution

The fourth proportional to 1,222.26, 1,686.80 and 725.00 is: 1,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.26 : 1,686.80 = 725.00 : x
  2. Step 2: Convert to fraction form
    1,222.26/1,686.80 = 725.00/x
  3. Step 3: Cross multiply
    1,222.26x = 1,686.80 × 725.00
  4. Step 4: Simplify right side
    1,222.26x = 1,222,917.94
  5. Step 5: Solve for x
    x = 1,222,917.94/1,222.26
  6. Step 6: Final answer
    x = 1,000.54

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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.