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Finding the Fourth Proportional to 1,022.41, 1,533.82 and 474.24

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Solution

The fourth proportional to 1,022.41, 1,533.82 and 474.24 is: 711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.41 : 1,533.82 = 474.24 : x
  2. Step 2: Convert to fraction form
    1,022.41/1,533.82 = 474.24/x
  3. Step 3: Cross multiply
    1,022.41x = 1,533.82 × 474.24
  4. Step 4: Simplify right side
    1,022.41x = 727,398.80
  5. Step 5: Solve for x
    x = 727,398.80/1,022.41
  6. Step 6: Final answer
    x = 711.46

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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.