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Finding the Fourth Proportional to 1,994.64, 2,991.72 and 533.88

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Solution

The fourth proportional to 1,994.64, 2,991.72 and 533.88 is: 800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.64 : 2,991.72 = 533.88 : x
  2. Step 2: Convert to fraction form
    1,994.64/2,991.72 = 533.88/x
  3. Step 3: Cross multiply
    1,994.64x = 2,991.72 × 533.88
  4. Step 4: Simplify right side
    1,994.64x = 1,597,219.47
  5. Step 5: Solve for x
    x = 1,597,219.47/1,994.64
  6. Step 6: Final answer
    x = 800.76

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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.