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Finding the Fourth Proportional to 695.79, 1,043.89 and 257.09

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Solution

The fourth proportional to 695.79, 1,043.89 and 257.09 is: 385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.79 : 1,043.89 = 257.09 : x
  2. Step 2: Convert to fraction form
    695.79/1,043.89 = 257.09/x
  3. Step 3: Cross multiply
    695.79x = 1,043.89 × 257.09
  4. Step 4: Simplify right side
    695.79x = 268,367.82
  5. Step 5: Solve for x
    x = 268,367.82/695.79
  6. Step 6: Final answer
    x = 385.70

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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.