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Finding the Fourth Proportional to 1,022.80, 1,534.20 and 446.80

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Solution

The fourth proportional to 1,022.80, 1,534.20 and 446.80 is: 670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.80 : 1,534.20 = 446.80 : x
  2. Step 2: Convert to fraction form
    1,022.80/1,534.20 = 446.80/x
  3. Step 3: Cross multiply
    1,022.80x = 1,534.20 × 446.80
  4. Step 4: Simplify right side
    1,022.80x = 685,480.56
  5. Step 5: Solve for x
    x = 685,480.56/1,022.80
  6. Step 6: Final answer
    x = 670.20

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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.