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Finding the Fourth Proportional to 1,448.75, 1,999.41 and 827.75

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Solution

The fourth proportional to 1,448.75, 1,999.41 and 827.75 is: 1,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.75 : 1,999.41 = 827.75 : x
  2. Step 2: Convert to fraction form
    1,448.75/1,999.41 = 827.75/x
  3. Step 3: Cross multiply
    1,448.75x = 1,999.41 × 827.75
  4. Step 4: Simplify right side
    1,448.75x = 1,655,011.63
  5. Step 5: Solve for x
    x = 1,655,011.63/1,448.75
  6. Step 6: Final answer
    x = 1,142.37

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1.5x scale

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.