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Finding the Fourth Proportional to 793.50, 1,093.64 and 583.23

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Solution

The fourth proportional to 793.50, 1,093.64 and 583.23 is: 803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.50 : 1,093.64 = 583.23 : x
  2. Step 2: Convert to fraction form
    793.50/1,093.64 = 583.23/x
  3. Step 3: Cross multiply
    793.50x = 1,093.64 × 583.23
  4. Step 4: Simplify right side
    793.50x = 637,844.84
  5. Step 5: Solve for x
    x = 637,844.84/793.50
  6. Step 6: Final answer
    x = 803.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.