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Finding the Fourth Proportional to 1,374.33, 2,061.24 and 680.77

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Solution

The fourth proportional to 1,374.33, 2,061.24 and 680.77 is: 1,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.33 : 2,061.24 = 680.77 : x
  2. Step 2: Convert to fraction form
    1,374.33/2,061.24 = 680.77/x
  3. Step 3: Cross multiply
    1,374.33x = 2,061.24 × 680.77
  4. Step 4: Simplify right side
    1,374.33x = 1,403,230.35
  5. Step 5: Solve for x
    x = 1,403,230.35/1,374.33
  6. Step 6: Final answer
    x = 1,021.03

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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.