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Finding the Fourth Proportional to 1,224.53, 1,836.71 and 853.26

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Solution

The fourth proportional to 1,224.53, 1,836.71 and 853.26 is: 1,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.53 : 1,836.71 = 853.26 : x
  2. Step 2: Convert to fraction form
    1,224.53/1,836.71 = 853.26/x
  3. Step 3: Cross multiply
    1,224.53x = 1,836.71 × 853.26
  4. Step 4: Simplify right side
    1,224.53x = 1,567,191.17
  5. Step 5: Solve for x
    x = 1,567,191.17/1,224.53
  6. Step 6: Final answer
    x = 1,279.83

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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.