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Finding the Fourth Proportional to 1,226.06, 1,838.06 and 532.21

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Solution

The fourth proportional to 1,226.06, 1,838.06 and 532.21 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.06 : 1,838.06 = 532.21 : x
  2. Step 2: Convert to fraction form
    1,226.06/1,838.06 = 532.21/x
  3. Step 3: Cross multiply
    1,226.06x = 1,838.06 × 532.21
  4. Step 4: Simplify right side
    1,226.06x = 978,222.06
  5. Step 5: Solve for x
    x = 978,222.06/1,226.06
  6. Step 6: Final answer
    x = 797.86

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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.