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Finding the Fourth Proportional to 968.84, 1,337.73 and 596.33

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Solution

The fourth proportional to 968.84, 1,337.73 and 596.33 is: 823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.84 : 1,337.73 = 596.33 : x
  2. Step 2: Convert to fraction form
    968.84/1,337.73 = 596.33/x
  3. Step 3: Cross multiply
    968.84x = 1,337.73 × 596.33
  4. Step 4: Simplify right side
    968.84x = 797,728.53
  5. Step 5: Solve for x
    x = 797,728.53/968.84
  6. Step 6: Final answer
    x = 823.39

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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.