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Finding the Fourth Proportional to 1,578.21, 2,177.93 and 879.59

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Solution

The fourth proportional to 1,578.21, 2,177.93 and 879.59 is: 1,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.21 : 2,177.93 = 879.59 : x
  2. Step 2: Convert to fraction form
    1,578.21/2,177.93 = 879.59/x
  3. Step 3: Cross multiply
    1,578.21x = 2,177.93 × 879.59
  4. Step 4: Simplify right side
    1,578.21x = 1,915,684.93
  5. Step 5: Solve for x
    x = 1,915,684.93/1,578.21
  6. Step 6: Final answer
    x = 1,213.83

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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.