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Finding the Fourth Proportional to 853.16, 1,178.09 and 538.97

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Solution

The fourth proportional to 853.16, 1,178.09 and 538.97 is: 744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.16 : 1,178.09 = 538.97 : x
  2. Step 2: Convert to fraction form
    853.16/1,178.09 = 538.97/x
  3. Step 3: Cross multiply
    853.16x = 1,178.09 × 538.97
  4. Step 4: Simplify right side
    853.16x = 634,946.58
  5. Step 5: Solve for x
    x = 634,946.58/853.16
  6. Step 6: Final answer
    x = 744.23

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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.