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Finding the Fourth Proportional to 722.41, 1,083.84 and 398

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Solution

The fourth proportional to 722.41, 1,083.84 and 398 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.41 : 1,083.84 = 398 : x
  2. Step 2: Convert to fraction form
    722.41/1,083.84 = 398/x
  3. Step 3: Cross multiply
    722.41x = 1,083.84 × 398
  4. Step 4: Simplify right side
    722.41x = 431,368.32
  5. Step 5: Solve for x
    x = 431,368.32/722.41
  6. Step 6: Final answer
    x = 597.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.