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Finding the Fourth Proportional to 1,081.12, 1,617.84 and 788.96

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Solution

The fourth proportional to 1,081.12, 1,617.84 and 788.96 is: 1,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.12 : 1,617.84 = 788.96 : x
  2. Step 2: Convert to fraction form
    1,081.12/1,617.84 = 788.96/x
  3. Step 3: Cross multiply
    1,081.12x = 1,617.84 × 788.96
  4. Step 4: Simplify right side
    1,081.12x = 1,276,411.05
  5. Step 5: Solve for x
    x = 1,276,411.05/1,081.12
  6. Step 6: Final answer
    x = 1,180.64

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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.