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Finding the Fourth Proportional to 649.43, 973.11 and 504.02

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Solution

The fourth proportional to 649.43, 973.11 and 504.02 is: 755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.43 : 973.11 = 504.02 : x
  2. Step 2: Convert to fraction form
    649.43/973.11 = 504.02/x
  3. Step 3: Cross multiply
    649.43x = 973.11 × 504.02
  4. Step 4: Simplify right side
    649.43x = 490,471.23
  5. Step 5: Solve for x
    x = 490,471.23/649.43
  6. Step 6: Final answer
    x = 755.24

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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.