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Finding the Fourth Proportional to 695.66, 1,043.28 and 208.58

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Solution

The fourth proportional to 695.66, 1,043.28 and 208.58 is: 312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 1,043.28 = 208.58 : x
  2. Step 2: Convert to fraction form
    695.66/1,043.28 = 208.58/x
  3. Step 3: Cross multiply
    695.66x = 1,043.28 × 208.58
  4. Step 4: Simplify right side
    695.66x = 217,607.34
  5. Step 5: Solve for x
    x = 217,607.34/695.66
  6. Step 6: Final answer
    x = 312.81

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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.