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Finding the Fourth Proportional to 1,333.40, 1,840.07 and 743.92

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Solution

The fourth proportional to 1,333.40, 1,840.07 and 743.92 is: 1,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.40 : 1,840.07 = 743.92 : x
  2. Step 2: Convert to fraction form
    1,333.40/1,840.07 = 743.92/x
  3. Step 3: Cross multiply
    1,333.40x = 1,840.07 × 743.92
  4. Step 4: Simplify right side
    1,333.40x = 1,368,851.95
  5. Step 5: Solve for x
    x = 1,368,851.95/1,333.40
  6. Step 6: Final answer
    x = 1,026.59

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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.