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Finding the Fourth Proportional to 651.02, 974.63 and 506.30

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Solution

The fourth proportional to 651.02, 974.63 and 506.30 is: 757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.02 : 974.63 = 506.30 : x
  2. Step 2: Convert to fraction form
    651.02/974.63 = 506.30/x
  3. Step 3: Cross multiply
    651.02x = 974.63 × 506.30
  4. Step 4: Simplify right side
    651.02x = 493,451.56
  5. Step 5: Solve for x
    x = 493,451.56/651.02
  6. Step 6: Final answer
    x = 757.97

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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.