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Finding the Fourth Proportional to 852.95, 1,278.18 and 462.62

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Solution

The fourth proportional to 852.95, 1,278.18 and 462.62 is: 693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.95 : 1,278.18 = 462.62 : x
  2. Step 2: Convert to fraction form
    852.95/1,278.18 = 462.62/x
  3. Step 3: Cross multiply
    852.95x = 1,278.18 × 462.62
  4. Step 4: Simplify right side
    852.95x = 591,305.24
  5. Step 5: Solve for x
    x = 591,305.24/852.95
  6. Step 6: Final answer
    x = 693.25

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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.