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Finding the Fourth Proportional to 1,022.43, 1,532.26 and 466.45

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Solution

The fourth proportional to 1,022.43, 1,532.26 and 466.45 is: 699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.43 : 1,532.26 = 466.45 : x
  2. Step 2: Convert to fraction form
    1,022.43/1,532.26 = 466.45/x
  3. Step 3: Cross multiply
    1,022.43x = 1,532.26 × 466.45
  4. Step 4: Simplify right side
    1,022.43x = 714,722.68
  5. Step 5: Solve for x
    x = 714,722.68/1,022.43
  6. Step 6: Final answer
    x = 699.04

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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.