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Finding the Fourth Proportional to 697.42, 1,046.14 and 210.47

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Solution

The fourth proportional to 697.42, 1,046.14 and 210.47 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.42 : 1,046.14 = 210.47 : x
  2. Step 2: Convert to fraction form
    697.42/1,046.14 = 210.47/x
  3. Step 3: Cross multiply
    697.42x = 1,046.14 × 210.47
  4. Step 4: Simplify right side
    697.42x = 220,183.17
  5. Step 5: Solve for x
    x = 220,183.17/697.42
  6. Step 6: Final answer
    x = 315.71

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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.