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Finding the Fourth Proportional to 1,208.73, 1,811.71 and 514.38

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Solution

The fourth proportional to 1,208.73, 1,811.71 and 514.38 is: 770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.73 : 1,811.71 = 514.38 : x
  2. Step 2: Convert to fraction form
    1,208.73/1,811.71 = 514.38/x
  3. Step 3: Cross multiply
    1,208.73x = 1,811.71 × 514.38
  4. Step 4: Simplify right side
    1,208.73x = 931,907.39
  5. Step 5: Solve for x
    x = 931,907.39/1,208.73
  6. Step 6: Final answer
    x = 770.98

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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.