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Finding the Fourth Proportional to 1,533.28, 2,299.86 and 437.62

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Solution

The fourth proportional to 1,533.28, 2,299.86 and 437.62 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.28 : 2,299.86 = 437.62 : x
  2. Step 2: Convert to fraction form
    1,533.28/2,299.86 = 437.62/x
  3. Step 3: Cross multiply
    1,533.28x = 2,299.86 × 437.62
  4. Step 4: Simplify right side
    1,533.28x = 1,006,464.73
  5. Step 5: Solve for x
    x = 1,006,464.73/1,533.28
  6. Step 6: Final answer
    x = 656.41

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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.