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Finding the Fourth Proportional to 697.62, 1,046.44 and 480.54

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Solution

The fourth proportional to 697.62, 1,046.44 and 480.54 is: 720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.62 : 1,046.44 = 480.54 : x
  2. Step 2: Convert to fraction form
    697.62/1,046.44 = 480.54/x
  3. Step 3: Cross multiply
    697.62x = 1,046.44 × 480.54
  4. Step 4: Simplify right side
    697.62x = 502,856.28
  5. Step 5: Solve for x
    x = 502,856.28/697.62
  6. Step 6: Final answer
    x = 720.82

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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.