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Finding the Fourth Proportional to 793.45, 1,184.44 and 696.25

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Solution

The fourth proportional to 793.45, 1,184.44 and 696.25 is: 1,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.45 : 1,184.44 = 696.25 : x
  2. Step 2: Convert to fraction form
    793.45/1,184.44 = 696.25/x
  3. Step 3: Cross multiply
    793.45x = 1,184.44 × 696.25
  4. Step 4: Simplify right side
    793.45x = 824,666.35
  5. Step 5: Solve for x
    x = 824,666.35/793.45
  6. Step 6: Final answer
    x = 1,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.