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Finding the Fourth Proportional to 1,469.13, 2,027.57 and 848.13

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Solution

The fourth proportional to 1,469.13, 2,027.57 and 848.13 is: 1,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.13 : 2,027.57 = 848.13 : x
  2. Step 2: Convert to fraction form
    1,469.13/2,027.57 = 848.13/x
  3. Step 3: Cross multiply
    1,469.13x = 2,027.57 × 848.13
  4. Step 4: Simplify right side
    1,469.13x = 1,719,642.94
  5. Step 5: Solve for x
    x = 1,719,642.94/1,469.13
  6. Step 6: Final answer
    x = 1,170.52

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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.