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Finding the Fourth Proportional to 697.52, 963.06 and 461.68

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Solution

The fourth proportional to 697.52, 963.06 and 461.68 is: 637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.52 : 963.06 = 461.68 : x
  2. Step 2: Convert to fraction form
    697.52/963.06 = 461.68/x
  3. Step 3: Cross multiply
    697.52x = 963.06 × 461.68
  4. Step 4: Simplify right side
    697.52x = 444,625.54
  5. Step 5: Solve for x
    x = 444,625.54/697.52
  6. Step 6: Final answer
    x = 637.44

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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.