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Finding the Fourth Proportional to 1,533.84, 2,298.84 and 764.56

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Solution

The fourth proportional to 1,533.84, 2,298.84 and 764.56 is: 1,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.84 : 2,298.84 = 764.56 : x
  2. Step 2: Convert to fraction form
    1,533.84/2,298.84 = 764.56/x
  3. Step 3: Cross multiply
    1,533.84x = 2,298.84 × 764.56
  4. Step 4: Simplify right side
    1,533.84x = 1,757,601.11
  5. Step 5: Solve for x
    x = 1,757,601.11/1,533.84
  6. Step 6: Final answer
    x = 1,145.88

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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.