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Finding the Fourth Proportional to 806.76, 1,208.87 and 644.40

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Solution

The fourth proportional to 806.76, 1,208.87 and 644.40 is: 965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.76 : 1,208.87 = 644.40 : x
  2. Step 2: Convert to fraction form
    806.76/1,208.87 = 644.40/x
  3. Step 3: Cross multiply
    806.76x = 1,208.87 × 644.40
  4. Step 4: Simplify right side
    806.76x = 778,995.83
  5. Step 5: Solve for x
    x = 778,995.83/806.76
  6. Step 6: Final answer
    x = 965.59

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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.