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Finding the Fourth Proportional to 853.62, 1,177.62 and 558.92

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Solution

The fourth proportional to 853.62, 1,177.62 and 558.92 is: 771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.62 : 1,177.62 = 558.92 : x
  2. Step 2: Convert to fraction form
    853.62/1,177.62 = 558.92/x
  3. Step 3: Cross multiply
    853.62x = 1,177.62 × 558.92
  4. Step 4: Simplify right side
    853.62x = 658,195.37
  5. Step 5: Solve for x
    x = 658,195.37/853.62
  6. Step 6: Final answer
    x = 771.06

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