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Finding the Fourth Proportional to 1,189.80, 1,640.16 and 927.36

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Solution

The fourth proportional to 1,189.80, 1,640.16 and 927.36 is: 1,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.80 : 1,640.16 = 927.36 : x
  2. Step 2: Convert to fraction form
    1,189.80/1,640.16 = 927.36/x
  3. Step 3: Cross multiply
    1,189.80x = 1,640.16 × 927.36
  4. Step 4: Simplify right side
    1,189.80x = 1,521,018.78
  5. Step 5: Solve for x
    x = 1,521,018.78/1,189.80
  6. Step 6: Final answer
    x = 1,278.38

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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.