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Finding the Fourth Proportional to 1,388.95, 2,083.41 and 362.95

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Solution

The fourth proportional to 1,388.95, 2,083.41 and 362.95 is: 544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.95 : 2,083.41 = 362.95 : x
  2. Step 2: Convert to fraction form
    1,388.95/2,083.41 = 362.95/x
  3. Step 3: Cross multiply
    1,388.95x = 2,083.41 × 362.95
  4. Step 4: Simplify right side
    1,388.95x = 756,173.66
  5. Step 5: Solve for x
    x = 756,173.66/1,388.95
  6. Step 6: Final answer
    x = 544.42

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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.