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Finding the Fourth Proportional to 650.02, 973.23 and 506.02

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Solution

The fourth proportional to 650.02, 973.23 and 506.02 is: 757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 973.23 = 506.02 : x
  2. Step 2: Convert to fraction form
    650.02/973.23 = 506.02/x
  3. Step 3: Cross multiply
    650.02x = 973.23 × 506.02
  4. Step 4: Simplify right side
    650.02x = 492,473.84
  5. Step 5: Solve for x
    x = 492,473.84/650.02
  6. Step 6: Final answer
    x = 757.63

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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.