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Finding the Fourth Proportional to 1,226.19, 1,838.25 and 532.33

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Solution

The fourth proportional to 1,226.19, 1,838.25 and 532.33 is: 798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.19 : 1,838.25 = 532.33 : x
  2. Step 2: Convert to fraction form
    1,226.19/1,838.25 = 532.33/x
  3. Step 3: Cross multiply
    1,226.19x = 1,838.25 × 532.33
  4. Step 4: Simplify right side
    1,226.19x = 978,552.96
  5. Step 5: Solve for x
    x = 978,552.96/1,226.19
  6. Step 6: Final answer
    x = 798.05

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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.