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Finding the Fourth Proportional to 1,533.04, 2,299.56 and 559.14

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Solution

The fourth proportional to 1,533.04, 2,299.56 and 559.14 is: 838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.04 : 2,299.56 = 559.14 : x
  2. Step 2: Convert to fraction form
    1,533.04/2,299.56 = 559.14/x
  3. Step 3: Cross multiply
    1,533.04x = 2,299.56 × 559.14
  4. Step 4: Simplify right side
    1,533.04x = 1,285,775.98
  5. Step 5: Solve for x
    x = 1,285,775.98/1,533.04
  6. Step 6: Final answer
    x = 838.71

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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.