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Finding the Fourth Proportional to 1,278.68, 1,767.73 and 1,266.99

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Solution

The fourth proportional to 1,278.68, 1,767.73 and 1,266.99 is: 1,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.68 : 1,767.73 = 1,266.99 : x
  2. Step 2: Convert to fraction form
    1,278.68/1,767.73 = 1,266.99/x
  3. Step 3: Cross multiply
    1,278.68x = 1,767.73 × 1,266.99
  4. Step 4: Simplify right side
    1,278.68x = 2,239,693.07
  5. Step 5: Solve for x
    x = 2,239,693.07/1,278.68
  6. Step 6: Final answer
    x = 1,751.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.