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Finding the Fourth Proportional to 1,138.08, 1,571.76 and 842.88

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Solution

The fourth proportional to 1,138.08, 1,571.76 and 842.88 is: 1,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.08 : 1,571.76 = 842.88 : x
  2. Step 2: Convert to fraction form
    1,138.08/1,571.76 = 842.88/x
  3. Step 3: Cross multiply
    1,138.08x = 1,571.76 × 842.88
  4. Step 4: Simplify right side
    1,138.08x = 1,324,805.07
  5. Step 5: Solve for x
    x = 1,324,805.07/1,138.08
  6. Step 6: Final answer
    x = 1,164.07

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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.