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Finding the Fourth Proportional to 1,333.15, 1,839.67 and 743.57

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Solution

The fourth proportional to 1,333.15, 1,839.67 and 743.57 is: 1,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.15 : 1,839.67 = 743.57 : x
  2. Step 2: Convert to fraction form
    1,333.15/1,839.67 = 743.57/x
  3. Step 3: Cross multiply
    1,333.15x = 1,839.67 × 743.57
  4. Step 4: Simplify right side
    1,333.15x = 1,367,923.42
  5. Step 5: Solve for x
    x = 1,367,923.42/1,333.15
  6. Step 6: Final answer
    x = 1,026.08

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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.