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Finding the Fourth Proportional to 651.14, 974.82 and 506.42

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Solution

The fourth proportional to 651.14, 974.82 and 506.42 is: 758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 974.82 = 506.42 : x
  2. Step 2: Convert to fraction form
    651.14/974.82 = 506.42/x
  3. Step 3: Cross multiply
    651.14x = 974.82 × 506.42
  4. Step 4: Simplify right side
    651.14x = 493,668.34
  5. Step 5: Solve for x
    x = 493,668.34/651.14
  6. Step 6: Final answer
    x = 758.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.