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Finding the Fourth Proportional to 804.23, 1,101.76 and 774.24

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Solution

The fourth proportional to 804.23, 1,101.76 and 774.24 is: 1,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.23 : 1,101.76 = 774.24 : x
  2. Step 2: Convert to fraction form
    804.23/1,101.76 = 774.24/x
  3. Step 3: Cross multiply
    804.23x = 1,101.76 × 774.24
  4. Step 4: Simplify right side
    804.23x = 853,026.66
  5. Step 5: Solve for x
    x = 853,026.66/804.23
  6. Step 6: Final answer
    x = 1,060.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.