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Finding the Fourth Proportional to 853.56, 1,279.70 and 468.92

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Solution

The fourth proportional to 853.56, 1,279.70 and 468.92 is: 703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.56 : 1,279.70 = 468.92 : x
  2. Step 2: Convert to fraction form
    853.56/1,279.70 = 468.92/x
  3. Step 3: Cross multiply
    853.56x = 1,279.70 × 468.92
  4. Step 4: Simplify right side
    853.56x = 600,076.92
  5. Step 5: Solve for x
    x = 600,076.92/853.56
  6. Step 6: Final answer
    x = 703.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.