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Finding the Fourth Proportional to 994.63, 1,372.63 and 575.00

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Solution

The fourth proportional to 994.63, 1,372.63 and 575.00 is: 793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.63 : 1,372.63 = 575.00 : x
  2. Step 2: Convert to fraction form
    994.63/1,372.63 = 575.00/x
  3. Step 3: Cross multiply
    994.63x = 1,372.63 × 575.00
  4. Step 4: Simplify right side
    994.63x = 789,255.39
  5. Step 5: Solve for x
    x = 789,255.39/994.63
  6. Step 6: Final answer
    x = 793.52

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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.