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Finding the Fourth Proportional to 697.37, 1,046.30 and 286.43

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Solution

The fourth proportional to 697.37, 1,046.30 and 286.43 is: 429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.37 : 1,046.30 = 286.43 : x
  2. Step 2: Convert to fraction form
    697.37/1,046.30 = 286.43/x
  3. Step 3: Cross multiply
    697.37x = 1,046.30 × 286.43
  4. Step 4: Simplify right side
    697.37x = 299,685.05
  5. Step 5: Solve for x
    x = 299,685.05/697.37
  6. Step 6: Final answer
    x = 429.74

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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.