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Finding the Fourth Proportional to 851.28, 1,276.89 and 468.96

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Solution

The fourth proportional to 851.28, 1,276.89 and 468.96 is: 703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.28 : 1,276.89 = 468.96 : x
  2. Step 2: Convert to fraction form
    851.28/1,276.89 = 468.96/x
  3. Step 3: Cross multiply
    851.28x = 1,276.89 × 468.96
  4. Step 4: Simplify right side
    851.28x = 598,810.33
  5. Step 5: Solve for x
    x = 598,810.33/851.28
  6. Step 6: Final answer
    x = 703.42

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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.