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Finding the Fourth Proportional to 695.91, 1,043.83 and 202.31

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Solution

The fourth proportional to 695.91, 1,043.83 and 202.31 is: 303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.91 : 1,043.83 = 202.31 : x
  2. Step 2: Convert to fraction form
    695.91/1,043.83 = 202.31/x
  3. Step 3: Cross multiply
    695.91x = 1,043.83 × 202.31
  4. Step 4: Simplify right side
    695.91x = 211,179.35
  5. Step 5: Solve for x
    x = 211,179.35/695.91
  6. Step 6: Final answer
    x = 303.46

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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.