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Finding the Fourth Proportional to 1,333.58, 1,840.42 and 744.15

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Solution

The fourth proportional to 1,333.58, 1,840.42 and 744.15 is: 1,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.58 : 1,840.42 = 744.15 : x
  2. Step 2: Convert to fraction form
    1,333.58/1,840.42 = 744.15/x
  3. Step 3: Cross multiply
    1,333.58x = 1,840.42 × 744.15
  4. Step 4: Simplify right side
    1,333.58x = 1,369,556.37
  5. Step 5: Solve for x
    x = 1,369,556.37/1,333.58
  6. Step 6: Final answer
    x = 1,026.98

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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.