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Finding the Fourth Proportional to 1,416.56, 1,954.94 and 819.14

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Solution

The fourth proportional to 1,416.56, 1,954.94 and 819.14 is: 1,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.56 : 1,954.94 = 819.14 : x
  2. Step 2: Convert to fraction form
    1,416.56/1,954.94 = 819.14/x
  3. Step 3: Cross multiply
    1,416.56x = 1,954.94 × 819.14
  4. Step 4: Simplify right side
    1,416.56x = 1,601,355.68
  5. Step 5: Solve for x
    x = 1,601,355.68/1,416.56
  6. Step 6: Final answer
    x = 1,130.46

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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.