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Finding the Fourth Proportional to 808.76, 1,210.70 and 519.60

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Solution

The fourth proportional to 808.76, 1,210.70 and 519.60 is: 777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.76 : 1,210.70 = 519.60 : x
  2. Step 2: Convert to fraction form
    808.76/1,210.70 = 519.60/x
  3. Step 3: Cross multiply
    808.76x = 1,210.70 × 519.60
  4. Step 4: Simplify right side
    808.76x = 629,079.72
  5. Step 5: Solve for x
    x = 629,079.72/808.76
  6. Step 6: Final answer
    x = 777.83

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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.