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Finding the Fourth Proportional to 694.96, 1,043.26 and 284.40

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Solution

The fourth proportional to 694.96, 1,043.26 and 284.40 is: 426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.96 : 1,043.26 = 284.40 : x
  2. Step 2: Convert to fraction form
    694.96/1,043.26 = 284.40/x
  3. Step 3: Cross multiply
    694.96x = 1,043.26 × 284.40
  4. Step 4: Simplify right side
    694.96x = 296,702.43
  5. Step 5: Solve for x
    x = 296,702.43/694.96
  6. Step 6: Final answer
    x = 426.94

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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.