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Finding the Fourth Proportional to 650.67, 974.97 and 456.00

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Solution

The fourth proportional to 650.67, 974.97 and 456.00 is: 683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.67 : 974.97 = 456.00 : x
  2. Step 2: Convert to fraction form
    650.67/974.97 = 456.00/x
  3. Step 3: Cross multiply
    650.67x = 974.97 × 456.00
  4. Step 4: Simplify right side
    650.67x = 444,582.66
  5. Step 5: Solve for x
    x = 444,582.66/650.67
  6. Step 6: Final answer
    x = 683.27

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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.