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Finding the Fourth Proportional to 1,208.21, 1,812.99 and 514.80

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Solution

The fourth proportional to 1,208.21, 1,812.99 and 514.80 is: 772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.21 : 1,812.99 = 514.80 : x
  2. Step 2: Convert to fraction form
    1,208.21/1,812.99 = 514.80/x
  3. Step 3: Cross multiply
    1,208.21x = 1,812.99 × 514.80
  4. Step 4: Simplify right side
    1,208.21x = 933,327.25
  5. Step 5: Solve for x
    x = 933,327.25/1,208.21
  6. Step 6: Final answer
    x = 772.49

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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.