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Finding the Fourth Proportional to 697.73, 962.44 and 461.68

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Solution

The fourth proportional to 697.73, 962.44 and 461.68 is: 636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.73 : 962.44 = 461.68 : x
  2. Step 2: Convert to fraction form
    697.73/962.44 = 461.68/x
  3. Step 3: Cross multiply
    697.73x = 962.44 × 461.68
  4. Step 4: Simplify right side
    697.73x = 444,339.30
  5. Step 5: Solve for x
    x = 444,339.30/697.73
  6. Step 6: Final answer
    x = 636.84

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.