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Finding the Fourth Proportional to 1,579.56, 2,179.80 and 871.42

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Solution

The fourth proportional to 1,579.56, 2,179.80 and 871.42 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.56 : 2,179.80 = 871.42 : x
  2. Step 2: Convert to fraction form
    1,579.56/2,179.80 = 871.42/x
  3. Step 3: Cross multiply
    1,579.56x = 2,179.80 × 871.42
  4. Step 4: Simplify right side
    1,579.56x = 1,899,521.32
  5. Step 5: Solve for x
    x = 1,899,521.32/1,579.56
  6. Step 6: Final answer
    x = 1,202.56

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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.