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Finding the Fourth Proportional to 1,277.89, 1,763.49 and 754.03

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Solution

The fourth proportional to 1,277.89, 1,763.49 and 754.03 is: 1,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.89 : 1,763.49 = 754.03 : x
  2. Step 2: Convert to fraction form
    1,277.89/1,763.49 = 754.03/x
  3. Step 3: Cross multiply
    1,277.89x = 1,763.49 × 754.03
  4. Step 4: Simplify right side
    1,277.89x = 1,329,724.36
  5. Step 5: Solve for x
    x = 1,329,724.36/1,277.89
  6. Step 6: Final answer
    x = 1,040.56

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1.5x scale

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.