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Finding the Fourth Proportional to 651.92, 974.05 and 629.24

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Solution

The fourth proportional to 651.92, 974.05 and 629.24 is: 940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.92 : 974.05 = 629.24 : x
  2. Step 2: Convert to fraction form
    651.92/974.05 = 629.24/x
  3. Step 3: Cross multiply
    651.92x = 974.05 × 629.24
  4. Step 4: Simplify right side
    651.92x = 612,911.22
  5. Step 5: Solve for x
    x = 612,911.22/651.92
  6. Step 6: Final answer
    x = 940.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.