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Finding the Fourth Proportional to 1,205.40, 1,810.83 and 859.56

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Solution

The fourth proportional to 1,205.40, 1,810.83 and 859.56 is: 1,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,810.83 = 859.56 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,810.83 = 859.56/x
  3. Step 3: Cross multiply
    1,205.40x = 1,810.83 × 859.56
  4. Step 4: Simplify right side
    1,205.40x = 1,556,517.03
  5. Step 5: Solve for x
    x = 1,556,517.03/1,205.40
  6. Step 6: Final answer
    x = 1,291.29

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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.