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Finding the Fourth Proportional to 648.05, 893.71 and 600.89

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Solution

The fourth proportional to 648.05, 893.71 and 600.89 is: 828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.05 : 893.71 = 600.89 : x
  2. Step 2: Convert to fraction form
    648.05/893.71 = 600.89/x
  3. Step 3: Cross multiply
    648.05x = 893.71 × 600.89
  4. Step 4: Simplify right side
    648.05x = 537,023.54
  5. Step 5: Solve for x
    x = 537,023.54/648.05
  6. Step 6: Final answer
    x = 828.68

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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.