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Finding the Fourth Proportional to 1,261.14, 1,891.54 and 480.93

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Solution

The fourth proportional to 1,261.14, 1,891.54 and 480.93 is: 721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.14 : 1,891.54 = 480.93 : x
  2. Step 2: Convert to fraction form
    1,261.14/1,891.54 = 480.93/x
  3. Step 3: Cross multiply
    1,261.14x = 1,891.54 × 480.93
  4. Step 4: Simplify right side
    1,261.14x = 909,698.33
  5. Step 5: Solve for x
    x = 909,698.33/1,261.14
  6. Step 6: Final answer
    x = 721.33

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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.