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Finding the Fourth Proportional to 695.00, 1,042.64 and 208.05

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Solution

The fourth proportional to 695.00, 1,042.64 and 208.05 is: 312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.00 : 1,042.64 = 208.05 : x
  2. Step 2: Convert to fraction form
    695.00/1,042.64 = 208.05/x
  3. Step 3: Cross multiply
    695.00x = 1,042.64 × 208.05
  4. Step 4: Simplify right side
    695.00x = 216,920.21
  5. Step 5: Solve for x
    x = 216,920.21/695.00
  6. Step 6: Final answer
    x = 312.12

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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.