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Finding the Fourth Proportional to 1,222.29, 1,687.55 and 1,091.07

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Solution

The fourth proportional to 1,222.29, 1,687.55 and 1,091.07 is: 1,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.29 : 1,687.55 = 1,091.07 : x
  2. Step 2: Convert to fraction form
    1,222.29/1,687.55 = 1,091.07/x
  3. Step 3: Cross multiply
    1,222.29x = 1,687.55 × 1,091.07
  4. Step 4: Simplify right side
    1,222.29x = 1,841,229.72
  5. Step 5: Solve for x
    x = 1,841,229.72/1,222.29
  6. Step 6: Final answer
    x = 1,506.38

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Why These Related Problems?

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