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Finding the Fourth Proportional to 1,377.73, 2,065.03 and 684.89

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Solution

The fourth proportional to 1,377.73, 2,065.03 and 684.89 is: 1,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.73 : 2,065.03 = 684.89 : x
  2. Step 2: Convert to fraction form
    1,377.73/2,065.03 = 684.89/x
  3. Step 3: Cross multiply
    1,377.73x = 2,065.03 × 684.89
  4. Step 4: Simplify right side
    1,377.73x = 1,414,313.23
  5. Step 5: Solve for x
    x = 1,414,313.23/1,377.73
  6. Step 6: Final answer
    x = 1,026.56

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Why These Related Problems?

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