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Finding the Fourth Proportional to 853.44, 1,177.74 and 728.94

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Solution

The fourth proportional to 853.44, 1,177.74 and 728.94 is: 1,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.44 : 1,177.74 = 728.94 : x
  2. Step 2: Convert to fraction form
    853.44/1,177.74 = 728.94/x
  3. Step 3: Cross multiply
    853.44x = 1,177.74 × 728.94
  4. Step 4: Simplify right side
    853.44x = 858,501.80
  5. Step 5: Solve for x
    x = 858,501.80/853.44
  6. Step 6: Final answer
    x = 1,005.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.