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Finding the Fourth Proportional to 1,163.33, 1,745.07 and 514.07

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Solution

The fourth proportional to 1,163.33, 1,745.07 and 514.07 is: 771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.33 : 1,745.07 = 514.07 : x
  2. Step 2: Convert to fraction form
    1,163.33/1,745.07 = 514.07/x
  3. Step 3: Cross multiply
    1,163.33x = 1,745.07 × 514.07
  4. Step 4: Simplify right side
    1,163.33x = 897,079.41
  5. Step 5: Solve for x
    x = 897,079.41/1,163.33
  6. Step 6: Final answer
    x = 771.13

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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.