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Finding the Fourth Proportional to 1,138.24, 1,572.06 and 879.40

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Solution

The fourth proportional to 1,138.24, 1,572.06 and 879.40 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.24 : 1,572.06 = 879.40 : x
  2. Step 2: Convert to fraction form
    1,138.24/1,572.06 = 879.40/x
  3. Step 3: Cross multiply
    1,138.24x = 1,572.06 × 879.40
  4. Step 4: Simplify right side
    1,138.24x = 1,382,469.56
  5. Step 5: Solve for x
    x = 1,382,469.56/1,138.24
  6. Step 6: Final answer
    x = 1,214.57

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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.