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Finding the Fourth Proportional to 1,265.05, 1,745.40 and 760.69

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Solution

The fourth proportional to 1,265.05, 1,745.40 and 760.69 is: 1,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.05 : 1,745.40 = 760.69 : x
  2. Step 2: Convert to fraction form
    1,265.05/1,745.40 = 760.69/x
  3. Step 3: Cross multiply
    1,265.05x = 1,745.40 × 760.69
  4. Step 4: Simplify right side
    1,265.05x = 1,327,708.33
  5. Step 5: Solve for x
    x = 1,327,708.33/1,265.05
  6. Step 6: Final answer
    x = 1,049.53

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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.