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Finding the Fourth Proportional to 853.11, 1,177.11 and 521.46

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Solution

The fourth proportional to 853.11, 1,177.11 and 521.46 is: 719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.11 : 1,177.11 = 521.46 : x
  2. Step 2: Convert to fraction form
    853.11/1,177.11 = 521.46/x
  3. Step 3: Cross multiply
    853.11x = 1,177.11 × 521.46
  4. Step 4: Simplify right side
    853.11x = 613,815.78
  5. Step 5: Solve for x
    x = 613,815.78/853.11
  6. Step 6: Final answer
    x = 719.50

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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.