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Finding the Fourth Proportional to 1,022.75, 1,534.63 and 406.44

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Solution

The fourth proportional to 1,022.75, 1,534.63 and 406.44 is: 609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.75 : 1,534.63 = 406.44 : x
  2. Step 2: Convert to fraction form
    1,022.75/1,534.63 = 406.44/x
  3. Step 3: Cross multiply
    1,022.75x = 1,534.63 × 406.44
  4. Step 4: Simplify right side
    1,022.75x = 623,735.02
  5. Step 5: Solve for x
    x = 623,735.02/1,022.75
  6. Step 6: Final answer
    x = 609.86

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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.