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Finding the Fourth Proportional to 1,212.80, 1,818.32 and 822.32

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Solution

The fourth proportional to 1,212.80, 1,818.32 and 822.32 is: 1,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.80 : 1,818.32 = 822.32 : x
  2. Step 2: Convert to fraction form
    1,212.80/1,818.32 = 822.32/x
  3. Step 3: Cross multiply
    1,212.80x = 1,818.32 × 822.32
  4. Step 4: Simplify right side
    1,212.80x = 1,495,240.90
  5. Step 5: Solve for x
    x = 1,495,240.90/1,212.80
  6. Step 6: Final answer
    x = 1,232.88

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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.