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Finding the Fourth Proportional to 1,226, 1,837.60 and 532.48

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Solution

The fourth proportional to 1,226, 1,837.60 and 532.48 is: 798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226 : 1,837.60 = 532.48 : x
  2. Step 2: Convert to fraction form
    1,226/1,837.60 = 532.48/x
  3. Step 3: Cross multiply
    1,226x = 1,837.60 × 532.48
  4. Step 4: Simplify right side
    1,226x = 978,485.25
  5. Step 5: Solve for x
    x = 978,485.25/1,226
  6. Step 6: Final answer
    x = 798.11

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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.