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Finding the Fourth Proportional to 694.88, 1,042.15 and 283.94

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Solution

The fourth proportional to 694.88, 1,042.15 and 283.94 is: 425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.88 : 1,042.15 = 283.94 : x
  2. Step 2: Convert to fraction form
    694.88/1,042.15 = 283.94/x
  3. Step 3: Cross multiply
    694.88x = 1,042.15 × 283.94
  4. Step 4: Simplify right side
    694.88x = 295,908.07
  5. Step 5: Solve for x
    x = 295,908.07/694.88
  6. Step 6: Final answer
    x = 425.84

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