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Finding the Fourth Proportional to 804.80, 1,208.40 and 622.40

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Solution

The fourth proportional to 804.80, 1,208.40 and 622.40 is: 934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.80 : 1,208.40 = 622.40 : x
  2. Step 2: Convert to fraction form
    804.80/1,208.40 = 622.40/x
  3. Step 3: Cross multiply
    804.80x = 1,208.40 × 622.40
  4. Step 4: Simplify right side
    804.80x = 752,108.16
  5. Step 5: Solve for x
    x = 752,108.16/804.80
  6. Step 6: Final answer
    x = 934.53

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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.