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Finding the Fourth Proportional to 601.50, 899.73 and 506.44

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Solution

The fourth proportional to 601.50, 899.73 and 506.44 is: 757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.50 : 899.73 = 506.44 : x
  2. Step 2: Convert to fraction form
    601.50/899.73 = 506.44/x
  3. Step 3: Cross multiply
    601.50x = 899.73 × 506.44
  4. Step 4: Simplify right side
    601.50x = 455,660.54
  5. Step 5: Solve for x
    x = 455,660.54/601.50
  6. Step 6: Final answer
    x = 757.54

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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.