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Finding the Fourth Proportional to 852.52, 1,279.14 and 467.32

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Solution

The fourth proportional to 852.52, 1,279.14 and 467.32 is: 701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.52 : 1,279.14 = 467.32 : x
  2. Step 2: Convert to fraction form
    852.52/1,279.14 = 467.32/x
  3. Step 3: Cross multiply
    852.52x = 1,279.14 × 467.32
  4. Step 4: Simplify right side
    852.52x = 597,767.70
  5. Step 5: Solve for x
    x = 597,767.70/852.52
  6. Step 6: Final answer
    x = 701.18

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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.