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Finding the Fourth Proportional to 853.41, 1,277.08 and 733.13

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Solution

The fourth proportional to 853.41, 1,277.08 and 733.13 is: 1,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.41 : 1,277.08 = 733.13 : x
  2. Step 2: Convert to fraction form
    853.41/1,277.08 = 733.13/x
  3. Step 3: Cross multiply
    853.41x = 1,277.08 × 733.13
  4. Step 4: Simplify right side
    853.41x = 936,265.66
  5. Step 5: Solve for x
    x = 936,265.66/853.41
  6. Step 6: Final answer
    x = 1,097.09

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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.