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Finding the Fourth Proportional to 1,163.69, 1,745.69 and 342.02

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Solution

The fourth proportional to 1,163.69, 1,745.69 and 342.02 is: 513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.69 : 1,745.69 = 342.02 : x
  2. Step 2: Convert to fraction form
    1,163.69/1,745.69 = 342.02/x
  3. Step 3: Cross multiply
    1,163.69x = 1,745.69 × 342.02
  4. Step 4: Simplify right side
    1,163.69x = 597,060.89
  5. Step 5: Solve for x
    x = 597,060.89/1,163.69
  6. Step 6: Final answer
    x = 513.08

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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.