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Finding the Fourth Proportional to 597.63, 892.54 and 518.96

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Solution

The fourth proportional to 597.63, 892.54 and 518.96 is: 775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.63 : 892.54 = 518.96 : x
  2. Step 2: Convert to fraction form
    597.63/892.54 = 518.96/x
  3. Step 3: Cross multiply
    597.63x = 892.54 × 518.96
  4. Step 4: Simplify right side
    597.63x = 463,195.44
  5. Step 5: Solve for x
    x = 463,195.44/597.63
  6. Step 6: Final answer
    x = 775.05

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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.