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Finding the Fourth Proportional to 989, 1,364.64 and 596.12

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Solution

The fourth proportional to 989, 1,364.64 and 596.12 is: 822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    989 : 1,364.64 = 596.12 : x
  2. Step 2: Convert to fraction form
    989/1,364.64 = 596.12/x
  3. Step 3: Cross multiply
    989x = 1,364.64 × 596.12
  4. Step 4: Simplify right side
    989x = 813,489.20
  5. Step 5: Solve for x
    x = 813,489.20/989
  6. Step 6: Final answer
    x = 822.54

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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.