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Finding the Fourth Proportional to 1,374.41, 1,896.67 and 785.14

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Solution

The fourth proportional to 1,374.41, 1,896.67 and 785.14 is: 1,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.41 : 1,896.67 = 785.14 : x
  2. Step 2: Convert to fraction form
    1,374.41/1,896.67 = 785.14/x
  3. Step 3: Cross multiply
    1,374.41x = 1,896.67 × 785.14
  4. Step 4: Simplify right side
    1,374.41x = 1,489,151.48
  5. Step 5: Solve for x
    x = 1,489,151.48/1,374.41
  6. Step 6: Final answer
    x = 1,083.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.