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Finding the Fourth Proportional to 1,208.14, 1,810.14 and 768.34

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Solution

The fourth proportional to 1,208.14, 1,810.14 and 768.34 is: 1,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.14 : 1,810.14 = 768.34 : x
  2. Step 2: Convert to fraction form
    1,208.14/1,810.14 = 768.34/x
  3. Step 3: Cross multiply
    1,208.14x = 1,810.14 × 768.34
  4. Step 4: Simplify right side
    1,208.14x = 1,390,802.97
  5. Step 5: Solve for x
    x = 1,390,802.97/1,208.14
  6. Step 6: Final answer
    x = 1,151.19

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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.