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Finding the Fourth Proportional to 650.07, 974.03 and 456.75

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Solution

The fourth proportional to 650.07, 974.03 and 456.75 is: 684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.07 : 974.03 = 456.75 : x
  2. Step 2: Convert to fraction form
    650.07/974.03 = 456.75/x
  3. Step 3: Cross multiply
    650.07x = 974.03 × 456.75
  4. Step 4: Simplify right side
    650.07x = 444,885.92
  5. Step 5: Solve for x
    x = 444,885.92/650.07
  6. Step 6: Final answer
    x = 684.37

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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.