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Finding the Fourth Proportional to 825.63, 1,138.96 and 576.86

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Solution

The fourth proportional to 825.63, 1,138.96 and 576.86 is: 795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.63 : 1,138.96 = 576.86 : x
  2. Step 2: Convert to fraction form
    825.63/1,138.96 = 576.86/x
  3. Step 3: Cross multiply
    825.63x = 1,138.96 × 576.86
  4. Step 4: Simplify right side
    825.63x = 657,015.49
  5. Step 5: Solve for x
    x = 657,015.49/825.63
  6. Step 6: Final answer
    x = 795.78

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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.