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Finding the Fourth Proportional to 1,163.90, 1,745.58 and 433.56

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Solution

The fourth proportional to 1,163.90, 1,745.58 and 433.56 is: 650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.90 : 1,745.58 = 433.56 : x
  2. Step 2: Convert to fraction form
    1,163.90/1,745.58 = 433.56/x
  3. Step 3: Cross multiply
    1,163.90x = 1,745.58 × 433.56
  4. Step 4: Simplify right side
    1,163.90x = 756,813.66
  5. Step 5: Solve for x
    x = 756,813.66/1,163.90
  6. Step 6: Final answer
    x = 650.24

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1.5x scale

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.