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Finding the Fourth Proportional to 1,238.04, 1,853.43 and 774.33

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Solution

The fourth proportional to 1,238.04, 1,853.43 and 774.33 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.04 : 1,853.43 = 774.33 : x
  2. Step 2: Convert to fraction form
    1,238.04/1,853.43 = 774.33/x
  3. Step 3: Cross multiply
    1,238.04x = 1,853.43 × 774.33
  4. Step 4: Simplify right side
    1,238.04x = 1,435,166.45
  5. Step 5: Solve for x
    x = 1,435,166.45/1,238.04
  6. Step 6: Final answer
    x = 1,159.22

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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.