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Finding the Fourth Proportional to 694.77, 1,041.87 and 232.47

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Solution

The fourth proportional to 694.77, 1,041.87 and 232.47 is: 348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.77 : 1,041.87 = 232.47 : x
  2. Step 2: Convert to fraction form
    694.77/1,041.87 = 232.47/x
  3. Step 3: Cross multiply
    694.77x = 1,041.87 × 232.47
  4. Step 4: Simplify right side
    694.77x = 242,203.52
  5. Step 5: Solve for x
    x = 242,203.52/694.77
  6. Step 6: Final answer
    x = 348.61

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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.