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Finding the Fourth Proportional to 1,533.06, 2,299.46 and 492.78

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Solution

The fourth proportional to 1,533.06, 2,299.46 and 492.78 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.06 : 2,299.46 = 492.78 : x
  2. Step 2: Convert to fraction form
    1,533.06/2,299.46 = 492.78/x
  3. Step 3: Cross multiply
    1,533.06x = 2,299.46 × 492.78
  4. Step 4: Simplify right side
    1,533.06x = 1,133,136.14
  5. Step 5: Solve for x
    x = 1,133,136.14/1,533.06
  6. Step 6: Final answer
    x = 739.13

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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.