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Finding the Fourth Proportional to 695.66, 1,043.50 and 209.10

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Solution

The fourth proportional to 695.66, 1,043.50 and 209.10 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 1,043.50 = 209.10 : x
  2. Step 2: Convert to fraction form
    695.66/1,043.50 = 209.10/x
  3. Step 3: Cross multiply
    695.66x = 1,043.50 × 209.10
  4. Step 4: Simplify right side
    695.66x = 218,195.85
  5. Step 5: Solve for x
    x = 218,195.85/695.66
  6. Step 6: Final answer
    x = 313.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.