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Finding the Fourth Proportional to 804.06, 1,204.47 and 620.19

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Solution

The fourth proportional to 804.06, 1,204.47 and 620.19 is: 929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.06 : 1,204.47 = 620.19 : x
  2. Step 2: Convert to fraction form
    804.06/1,204.47 = 620.19/x
  3. Step 3: Cross multiply
    804.06x = 1,204.47 × 620.19
  4. Step 4: Simplify right side
    804.06x = 747,000.25
  5. Step 5: Solve for x
    x = 747,000.25/804.06
  6. Step 6: Final answer
    x = 929.04

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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.