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Finding the Fourth Proportional to 651.52, 898.32 and 596.44

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Solution

The fourth proportional to 651.52, 898.32 and 596.44 is: 822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.52 : 898.32 = 596.44 : x
  2. Step 2: Convert to fraction form
    651.52/898.32 = 596.44/x
  3. Step 3: Cross multiply
    651.52x = 898.32 × 596.44
  4. Step 4: Simplify right side
    651.52x = 535,793.98
  5. Step 5: Solve for x
    x = 535,793.98/651.52
  6. Step 6: Final answer
    x = 822.38

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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.