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Finding the Fourth Proportional to 1,367.78, 2,053.26 and 675.02

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Solution

The fourth proportional to 1,367.78, 2,053.26 and 675.02 is: 1,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.78 : 2,053.26 = 675.02 : x
  2. Step 2: Convert to fraction form
    1,367.78/2,053.26 = 675.02/x
  3. Step 3: Cross multiply
    1,367.78x = 2,053.26 × 675.02
  4. Step 4: Simplify right side
    1,367.78x = 1,385,991.57
  5. Step 5: Solve for x
    x = 1,385,991.57/1,367.78
  6. Step 6: Final answer
    x = 1,013.31

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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.