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Finding the Fourth Proportional to 1,433.64, 1,978.76 and 844.37

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Solution

The fourth proportional to 1,433.64, 1,978.76 and 844.37 is: 1,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.64 : 1,978.76 = 844.37 : x
  2. Step 2: Convert to fraction form
    1,433.64/1,978.76 = 844.37/x
  3. Step 3: Cross multiply
    1,433.64x = 1,978.76 × 844.37
  4. Step 4: Simplify right side
    1,433.64x = 1,670,791.47
  5. Step 5: Solve for x
    x = 1,670,791.47/1,433.64
  6. Step 6: Final answer
    x = 1,165.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.