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Finding the Fourth Proportional to 829.42, 1,244.07 and 466.48

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Solution

The fourth proportional to 829.42, 1,244.07 and 466.48 is: 699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,244.07 = 466.48 : x
  2. Step 2: Convert to fraction form
    829.42/1,244.07 = 466.48/x
  3. Step 3: Cross multiply
    829.42x = 1,244.07 × 466.48
  4. Step 4: Simplify right side
    829.42x = 580,333.77
  5. Step 5: Solve for x
    x = 580,333.77/829.42
  6. Step 6: Final answer
    x = 699.69

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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.