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Finding the Fourth Proportional to 804.31, 1,107.37 and 700.76

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Solution

The fourth proportional to 804.31, 1,107.37 and 700.76 is: 964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.31 : 1,107.37 = 700.76 : x
  2. Step 2: Convert to fraction form
    804.31/1,107.37 = 700.76/x
  3. Step 3: Cross multiply
    804.31x = 1,107.37 × 700.76
  4. Step 4: Simplify right side
    804.31x = 776,004.25
  5. Step 5: Solve for x
    x = 776,004.25/804.31
  6. Step 6: Final answer
    x = 964.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.