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Finding the Fourth Proportional to 1,022.73, 1,533.46 and 406.16

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Solution

The fourth proportional to 1,022.73, 1,533.46 and 406.16 is: 608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.73 : 1,533.46 = 406.16 : x
  2. Step 2: Convert to fraction form
    1,022.73/1,533.46 = 406.16/x
  3. Step 3: Cross multiply
    1,022.73x = 1,533.46 × 406.16
  4. Step 4: Simplify right side
    1,022.73x = 622,830.11
  5. Step 5: Solve for x
    x = 622,830.11/1,022.73
  6. Step 6: Final answer
    x = 608.99

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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.