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Finding the Fourth Proportional to 1,334.15, 2,001.93 and 684.89

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Solution

The fourth proportional to 1,334.15, 2,001.93 and 684.89 is: 1,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.15 : 2,001.93 = 684.89 : x
  2. Step 2: Convert to fraction form
    1,334.15/2,001.93 = 684.89/x
  3. Step 3: Cross multiply
    1,334.15x = 2,001.93 × 684.89
  4. Step 4: Simplify right side
    1,334.15x = 1,371,091.83
  5. Step 5: Solve for x
    x = 1,371,091.83/1,334.15
  6. Step 6: Final answer
    x = 1,027.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.