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Finding the Fourth Proportional to 853.05, 1,279.58 and 470.73

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Solution

The fourth proportional to 853.05, 1,279.58 and 470.73 is: 706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.05 : 1,279.58 = 470.73 : x
  2. Step 2: Convert to fraction form
    853.05/1,279.58 = 470.73/x
  3. Step 3: Cross multiply
    853.05x = 1,279.58 × 470.73
  4. Step 4: Simplify right side
    853.05x = 602,334.34
  5. Step 5: Solve for x
    x = 602,334.34/853.05
  6. Step 6: Final answer
    x = 706.10

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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.