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Finding the Fourth Proportional to 940.77, 1,295.40 and 852.87

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Solution

The fourth proportional to 940.77, 1,295.40 and 852.87 is: 1,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.77 : 1,295.40 = 852.87 : x
  2. Step 2: Convert to fraction form
    940.77/1,295.40 = 852.87/x
  3. Step 3: Cross multiply
    940.77x = 1,295.40 × 852.87
  4. Step 4: Simplify right side
    940.77x = 1,104,807.80
  5. Step 5: Solve for x
    x = 1,104,807.80/940.77
  6. Step 6: Final answer
    x = 1,174.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.