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Finding the Fourth Proportional to 1,416.22, 1,954.24 and 778.03

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Solution

The fourth proportional to 1,416.22, 1,954.24 and 778.03 is: 1,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.22 : 1,954.24 = 778.03 : x
  2. Step 2: Convert to fraction form
    1,416.22/1,954.24 = 778.03/x
  3. Step 3: Cross multiply
    1,416.22x = 1,954.24 × 778.03
  4. Step 4: Simplify right side
    1,416.22x = 1,520,450.52
  5. Step 5: Solve for x
    x = 1,520,450.52/1,416.22
  6. Step 6: Final answer
    x = 1,073.60

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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.