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Finding the Fourth Proportional to 649.80, 975.24 and 506.43

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Solution

The fourth proportional to 649.80, 975.24 and 506.43 is: 760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 975.24 = 506.43 : x
  2. Step 2: Convert to fraction form
    649.80/975.24 = 506.43/x
  3. Step 3: Cross multiply
    649.80x = 975.24 × 506.43
  4. Step 4: Simplify right side
    649.80x = 493,890.79
  5. Step 5: Solve for x
    x = 493,890.79/649.80
  6. Step 6: Final answer
    x = 760.07

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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.