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Finding the Fourth Proportional to 650.50, 974.03 and 455.74

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Solution

The fourth proportional to 650.50, 974.03 and 455.74 is: 682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.50 : 974.03 = 455.74 : x
  2. Step 2: Convert to fraction form
    650.50/974.03 = 455.74/x
  3. Step 3: Cross multiply
    650.50x = 974.03 × 455.74
  4. Step 4: Simplify right side
    650.50x = 443,899.72
  5. Step 5: Solve for x
    x = 443,899.72/650.50
  6. Step 6: Final answer
    x = 682.40

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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.