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Finding the Fourth Proportional to 1,208.25, 1,812.78 and 514.89

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Solution

The fourth proportional to 1,208.25, 1,812.78 and 514.89 is: 772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.25 : 1,812.78 = 514.89 : x
  2. Step 2: Convert to fraction form
    1,208.25/1,812.78 = 514.89/x
  3. Step 3: Cross multiply
    1,208.25x = 1,812.78 × 514.89
  4. Step 4: Simplify right side
    1,208.25x = 933,382.29
  5. Step 5: Solve for x
    x = 933,382.29/1,208.25
  6. Step 6: Final answer
    x = 772.51

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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.