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Finding the Fourth Proportional to 1,265.18, 1,745.46 and 767.61

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Solution

The fourth proportional to 1,265.18, 1,745.46 and 767.61 is: 1,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.18 : 1,745.46 = 767.61 : x
  2. Step 2: Convert to fraction form
    1,265.18/1,745.46 = 767.61/x
  3. Step 3: Cross multiply
    1,265.18x = 1,745.46 × 767.61
  4. Step 4: Simplify right side
    1,265.18x = 1,339,832.55
  5. Step 5: Solve for x
    x = 1,339,832.55/1,265.18
  6. Step 6: Final answer
    x = 1,059.01

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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.