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Finding the Fourth Proportional to 694.99, 1,042.64 and 232.79

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Solution

The fourth proportional to 694.99, 1,042.64 and 232.79 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.99 : 1,042.64 = 232.79 : x
  2. Step 2: Convert to fraction form
    694.99/1,042.64 = 232.79/x
  3. Step 3: Cross multiply
    694.99x = 1,042.64 × 232.79
  4. Step 4: Simplify right side
    694.99x = 242,715.00
  5. Step 5: Solve for x
    x = 242,715.00/694.99
  6. Step 6: Final answer
    x = 349.24

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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.