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Finding the Fourth Proportional to 1,091.78, 1,502.87 and 949.89

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Solution

The fourth proportional to 1,091.78, 1,502.87 and 949.89 is: 1,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.78 : 1,502.87 = 949.89 : x
  2. Step 2: Convert to fraction form
    1,091.78/1,502.87 = 949.89/x
  3. Step 3: Cross multiply
    1,091.78x = 1,502.87 × 949.89
  4. Step 4: Simplify right side
    1,091.78x = 1,427,556.43
  5. Step 5: Solve for x
    x = 1,427,556.43/1,091.78
  6. Step 6: Final answer
    x = 1,307.56

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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.