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Finding the Fourth Proportional to 851.57, 1,278.08 and 467.09

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Solution

The fourth proportional to 851.57, 1,278.08 and 467.09 is: 701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.57 : 1,278.08 = 467.09 : x
  2. Step 2: Convert to fraction form
    851.57/1,278.08 = 467.09/x
  3. Step 3: Cross multiply
    851.57x = 1,278.08 × 467.09
  4. Step 4: Simplify right side
    851.57x = 596,976.05
  5. Step 5: Solve for x
    x = 596,976.05/851.57
  6. Step 6: Final answer
    x = 701.03

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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.