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Finding the Fourth Proportional to 1,327.92, 1,994.04 and 818.16

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Solution

The fourth proportional to 1,327.92, 1,994.04 and 818.16 is: 1,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.92 : 1,994.04 = 818.16 : x
  2. Step 2: Convert to fraction form
    1,327.92/1,994.04 = 818.16/x
  3. Step 3: Cross multiply
    1,327.92x = 1,994.04 × 818.16
  4. Step 4: Simplify right side
    1,327.92x = 1,631,443.77
  5. Step 5: Solve for x
    x = 1,631,443.77/1,327.92
  6. Step 6: Final answer
    x = 1,228.57

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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.