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Finding the Fourth Proportional to 1,261.77, 1,891.35 and 914.24

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Solution

The fourth proportional to 1,261.77, 1,891.35 and 914.24 is: 1,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.77 : 1,891.35 = 914.24 : x
  2. Step 2: Convert to fraction form
    1,261.77/1,891.35 = 914.24/x
  3. Step 3: Cross multiply
    1,261.77x = 1,891.35 × 914.24
  4. Step 4: Simplify right side
    1,261.77x = 1,729,138.37
  5. Step 5: Solve for x
    x = 1,729,138.37/1,261.77
  6. Step 6: Final answer
    x = 1,370.41

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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.