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Finding the Fourth Proportional to 1,163.40, 1,745.44 and 469.71

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Solution

The fourth proportional to 1,163.40, 1,745.44 and 469.71 is: 704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.40 : 1,745.44 = 469.71 : x
  2. Step 2: Convert to fraction form
    1,163.40/1,745.44 = 469.71/x
  3. Step 3: Cross multiply
    1,163.40x = 1,745.44 × 469.71
  4. Step 4: Simplify right side
    1,163.40x = 819,854.21
  5. Step 5: Solve for x
    x = 819,854.21/1,163.40
  6. Step 6: Final answer
    x = 704.71

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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.