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Finding the Fourth Proportional to 1,333.63, 1,840.53 and 744.31

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Solution

The fourth proportional to 1,333.63, 1,840.53 and 744.31 is: 1,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.63 : 1,840.53 = 744.31 : x
  2. Step 2: Convert to fraction form
    1,333.63/1,840.53 = 744.31/x
  3. Step 3: Cross multiply
    1,333.63x = 1,840.53 × 744.31
  4. Step 4: Simplify right side
    1,333.63x = 1,369,924.88
  5. Step 5: Solve for x
    x = 1,369,924.88/1,333.63
  6. Step 6: Final answer
    x = 1,027.22

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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.