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Finding the Fourth Proportional to 853.72, 1,177.77 and 504.34

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Solution

The fourth proportional to 853.72, 1,177.77 and 504.34 is: 695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.72 : 1,177.77 = 504.34 : x
  2. Step 2: Convert to fraction form
    853.72/1,177.77 = 504.34/x
  3. Step 3: Cross multiply
    853.72x = 1,177.77 × 504.34
  4. Step 4: Simplify right side
    853.72x = 593,996.52
  5. Step 5: Solve for x
    x = 593,996.52/853.72
  6. Step 6: Final answer
    x = 695.77

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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.