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Finding the Fourth Proportional to 804.35, 1,204.83 and 511.70

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Solution

The fourth proportional to 804.35, 1,204.83 and 511.70 is: 766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.35 : 1,204.83 = 511.70 : x
  2. Step 2: Convert to fraction form
    804.35/1,204.83 = 511.70/x
  3. Step 3: Cross multiply
    804.35x = 1,204.83 × 511.70
  4. Step 4: Simplify right side
    804.35x = 616,505.49
  5. Step 5: Solve for x
    x = 616,505.49/804.35
  6. Step 6: Final answer
    x = 766.47

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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.