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Finding the Fourth Proportional to 649.98, 975.72 and 513.48

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Solution

The fourth proportional to 649.98, 975.72 and 513.48 is: 770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 975.72 = 513.48 : x
  2. Step 2: Convert to fraction form
    649.98/975.72 = 513.48/x
  3. Step 3: Cross multiply
    649.98x = 975.72 × 513.48
  4. Step 4: Simplify right side
    649.98x = 501,012.71
  5. Step 5: Solve for x
    x = 501,012.71/649.98
  6. Step 6: Final answer
    x = 770.81

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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.