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Finding the Fourth Proportional to 1,377.33, 2,065.75 and 683.77

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Solution

The fourth proportional to 1,377.33, 2,065.75 and 683.77 is: 1,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.33 : 2,065.75 = 683.77 : x
  2. Step 2: Convert to fraction form
    1,377.33/2,065.75 = 683.77/x
  3. Step 3: Cross multiply
    1,377.33x = 2,065.75 × 683.77
  4. Step 4: Simplify right side
    1,377.33x = 1,412,497.88
  5. Step 5: Solve for x
    x = 1,412,497.88/1,377.33
  6. Step 6: Final answer
    x = 1,025.53

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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.