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Finding the Fourth Proportional to 1,441.26, 1,988.82 and 811.89

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Solution

The fourth proportional to 1,441.26, 1,988.82 and 811.89 is: 1,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.26 : 1,988.82 = 811.89 : x
  2. Step 2: Convert to fraction form
    1,441.26/1,988.82 = 811.89/x
  3. Step 3: Cross multiply
    1,441.26x = 1,988.82 × 811.89
  4. Step 4: Simplify right side
    1,441.26x = 1,614,703.07
  5. Step 5: Solve for x
    x = 1,614,703.07/1,441.26
  6. Step 6: Final answer
    x = 1,120.34

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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.