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Finding the Fourth Proportional to 1,333.62, 1,840.34 and 744.16

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Solution

The fourth proportional to 1,333.62, 1,840.34 and 744.16 is: 1,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.62 : 1,840.34 = 744.16 : x
  2. Step 2: Convert to fraction form
    1,333.62/1,840.34 = 744.16/x
  3. Step 3: Cross multiply
    1,333.62x = 1,840.34 × 744.16
  4. Step 4: Simplify right side
    1,333.62x = 1,369,507.41
  5. Step 5: Solve for x
    x = 1,369,507.41/1,333.62
  6. Step 6: Final answer
    x = 1,026.91

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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.