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Finding the Fourth Proportional to 1,022.97, 1,533.26 and 474.00

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Solution

The fourth proportional to 1,022.97, 1,533.26 and 474.00 is: 710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.97 : 1,533.26 = 474.00 : x
  2. Step 2: Convert to fraction form
    1,022.97/1,533.26 = 474.00/x
  3. Step 3: Cross multiply
    1,022.97x = 1,533.26 × 474.00
  4. Step 4: Simplify right side
    1,022.97x = 726,760.68
  5. Step 5: Solve for x
    x = 726,760.68/1,022.97
  6. Step 6: Final answer
    x = 710.44

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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.