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Finding the Fourth Proportional to 853.36, 1,269.07 and 826.02

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Solution

The fourth proportional to 853.36, 1,269.07 and 826.02 is: 1,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.36 : 1,269.07 = 826.02 : x
  2. Step 2: Convert to fraction form
    853.36/1,269.07 = 826.02/x
  3. Step 3: Cross multiply
    853.36x = 1,269.07 × 826.02
  4. Step 4: Simplify right side
    853.36x = 1,048,275.14
  5. Step 5: Solve for x
    x = 1,048,275.14/853.36
  6. Step 6: Final answer
    x = 1,228.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.