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Finding the Fourth Proportional to 697.32, 1,046.10 and 286.92

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Solution

The fourth proportional to 697.32, 1,046.10 and 286.92 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.32 : 1,046.10 = 286.92 : x
  2. Step 2: Convert to fraction form
    697.32/1,046.10 = 286.92/x
  3. Step 3: Cross multiply
    697.32x = 1,046.10 × 286.92
  4. Step 4: Simplify right side
    697.32x = 300,147.01
  5. Step 5: Solve for x
    x = 300,147.01/697.32
  6. Step 6: Final answer
    x = 430.43

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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.