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Finding the Fourth Proportional to 1,078, 1,617 and 308.50

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Solution

The fourth proportional to 1,078, 1,617 and 308.50 is: 462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078 : 1,617 = 308.50 : x
  2. Step 2: Convert to fraction form
    1,078/1,617 = 308.50/x
  3. Step 3: Cross multiply
    1,078x = 1,617 × 308.50
  4. Step 4: Simplify right side
    1,078x = 498,844.50
  5. Step 5: Solve for x
    x = 498,844.50/1,078
  6. Step 6: Final answer
    x = 462.75

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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.