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Finding the Fourth Proportional to 1,578.08, 2,177.78 and 879.46

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Solution

The fourth proportional to 1,578.08, 2,177.78 and 879.46 is: 1,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.08 : 2,177.78 = 879.46 : x
  2. Step 2: Convert to fraction form
    1,578.08/2,177.78 = 879.46/x
  3. Step 3: Cross multiply
    1,578.08x = 2,177.78 × 879.46
  4. Step 4: Simplify right side
    1,578.08x = 1,915,270.40
  5. Step 5: Solve for x
    x = 1,915,270.40/1,578.08
  6. Step 6: Final answer
    x = 1,213.67

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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.