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Finding the Fourth Proportional to 1,111.38, 1,530 and 942.54

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Solution

The fourth proportional to 1,111.38, 1,530 and 942.54 is: 1,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.38 : 1,530 = 942.54 : x
  2. Step 2: Convert to fraction form
    1,111.38/1,530 = 942.54/x
  3. Step 3: Cross multiply
    1,111.38x = 1,530 × 942.54
  4. Step 4: Simplify right side
    1,111.38x = 1,442,086.20
  5. Step 5: Solve for x
    x = 1,442,086.20/1,111.38
  6. Step 6: Final answer
    x = 1,297.56

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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.