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Finding the Fourth Proportional to 695.94, 1,043.87 and 209.00

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Solution

The fourth proportional to 695.94, 1,043.87 and 209.00 is: 313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.94 : 1,043.87 = 209.00 : x
  2. Step 2: Convert to fraction form
    695.94/1,043.87 = 209.00/x
  3. Step 3: Cross multiply
    695.94x = 1,043.87 × 209.00
  4. Step 4: Simplify right side
    695.94x = 218,162.57
  5. Step 5: Solve for x
    x = 218,162.57/695.94
  6. Step 6: Final answer
    x = 313.48

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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.