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Finding the Fourth Proportional to 793.63, 1,194.75 and 714.25

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Solution

The fourth proportional to 793.63, 1,194.75 and 714.25 is: 1,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.63 : 1,194.75 = 714.25 : x
  2. Step 2: Convert to fraction form
    793.63/1,194.75 = 714.25/x
  3. Step 3: Cross multiply
    793.63x = 1,194.75 × 714.25
  4. Step 4: Simplify right side
    793.63x = 853,351.97
  5. Step 5: Solve for x
    x = 853,351.97/793.63
  6. Step 6: Final answer
    x = 1,075.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.