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Finding the Fourth Proportional to 697.49, 1,046.19 and 210.50

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Solution

The fourth proportional to 697.49, 1,046.19 and 210.50 is: 315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.49 : 1,046.19 = 210.50 : x
  2. Step 2: Convert to fraction form
    697.49/1,046.19 = 210.50/x
  3. Step 3: Cross multiply
    697.49x = 1,046.19 × 210.50
  4. Step 4: Simplify right side
    697.49x = 220,221.88
  5. Step 5: Solve for x
    x = 220,221.88/697.49
  6. Step 6: Final answer
    x = 315.74

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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.