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Finding the Fourth Proportional to 1,295.48, 1,942.36 and 775.87

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Solution

The fourth proportional to 1,295.48, 1,942.36 and 775.87 is: 1,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.48 : 1,942.36 = 775.87 : x
  2. Step 2: Convert to fraction form
    1,295.48/1,942.36 = 775.87/x
  3. Step 3: Cross multiply
    1,295.48x = 1,942.36 × 775.87
  4. Step 4: Simplify right side
    1,295.48x = 1,507,018.85
  5. Step 5: Solve for x
    x = 1,507,018.85/1,295.48
  6. Step 6: Final answer
    x = 1,163.29

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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.