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Finding the Fourth Proportional to 1,322.13, 1,826.07 and 879.27

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Solution

The fourth proportional to 1,322.13, 1,826.07 and 879.27 is: 1,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.13 : 1,826.07 = 879.27 : x
  2. Step 2: Convert to fraction form
    1,322.13/1,826.07 = 879.27/x
  3. Step 3: Cross multiply
    1,322.13x = 1,826.07 × 879.27
  4. Step 4: Simplify right side
    1,322.13x = 1,605,608.57
  5. Step 5: Solve for x
    x = 1,605,608.57/1,322.13
  6. Step 6: Final answer
    x = 1,214.41

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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.