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Finding the Fourth Proportional to 774.44, 1,068.73 and 420.37

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Solution

The fourth proportional to 774.44, 1,068.73 and 420.37 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.44 : 1,068.73 = 420.37 : x
  2. Step 2: Convert to fraction form
    774.44/1,068.73 = 420.37/x
  3. Step 3: Cross multiply
    774.44x = 1,068.73 × 420.37
  4. Step 4: Simplify right side
    774.44x = 449,258.31
  5. Step 5: Solve for x
    x = 449,258.31/774.44
  6. Step 6: Final answer
    x = 580.11

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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.