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Finding the Fourth Proportional to 1,213.79, 1,824.32 and 1,078.92

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Solution

The fourth proportional to 1,213.79, 1,824.32 and 1,078.92 is: 1,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.79 : 1,824.32 = 1,078.92 : x
  2. Step 2: Convert to fraction form
    1,213.79/1,824.32 = 1,078.92/x
  3. Step 3: Cross multiply
    1,213.79x = 1,824.32 × 1,078.92
  4. Step 4: Simplify right side
    1,213.79x = 1,968,298.03
  5. Step 5: Solve for x
    x = 1,968,298.03/1,213.79
  6. Step 6: Final answer
    x = 1,621.62

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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.