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Finding the Fourth Proportional to 1,230.12, 1,843.32 and 579.24

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Solution

The fourth proportional to 1,230.12, 1,843.32 and 579.24 is: 867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.12 : 1,843.32 = 579.24 : x
  2. Step 2: Convert to fraction form
    1,230.12/1,843.32 = 579.24/x
  3. Step 3: Cross multiply
    1,230.12x = 1,843.32 × 579.24
  4. Step 4: Simplify right side
    1,230.12x = 1,067,724.68
  5. Step 5: Solve for x
    x = 1,067,724.68/1,230.12
  6. Step 6: Final answer
    x = 867.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.