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Finding the Fourth Proportional to 1,221.12, 1,828.56 and 672.70

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Solution

The fourth proportional to 1,221.12, 1,828.56 and 672.70 is: 1,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.12 : 1,828.56 = 672.70 : x
  2. Step 2: Convert to fraction form
    1,221.12/1,828.56 = 672.70/x
  3. Step 3: Cross multiply
    1,221.12x = 1,828.56 × 672.70
  4. Step 4: Simplify right side
    1,221.12x = 1,230,072.31
  5. Step 5: Solve for x
    x = 1,230,072.31/1,221.12
  6. Step 6: Final answer
    x = 1,007.33

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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.