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Finding the Fourth Proportional to 1,405.36, 1,939.42 and 775.88

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Solution

The fourth proportional to 1,405.36, 1,939.42 and 775.88 is: 1,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.36 : 1,939.42 = 775.88 : x
  2. Step 2: Convert to fraction form
    1,405.36/1,939.42 = 775.88/x
  3. Step 3: Cross multiply
    1,405.36x = 1,939.42 × 775.88
  4. Step 4: Simplify right side
    1,405.36x = 1,504,757.19
  5. Step 5: Solve for x
    x = 1,504,757.19/1,405.36
  6. Step 6: Final answer
    x = 1,070.73

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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.