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Finding the Fourth Proportional to 1,023.28, 1,533.87 and 406.81

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Solution

The fourth proportional to 1,023.28, 1,533.87 and 406.81 is: 609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.28 : 1,533.87 = 406.81 : x
  2. Step 2: Convert to fraction form
    1,023.28/1,533.87 = 406.81/x
  3. Step 3: Cross multiply
    1,023.28x = 1,533.87 × 406.81
  4. Step 4: Simplify right side
    1,023.28x = 623,993.65
  5. Step 5: Solve for x
    x = 623,993.65/1,023.28
  6. Step 6: Final answer
    x = 609.80

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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.