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Finding the Fourth Proportional to 829.56, 1,244.42 and 282.12

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Solution

The fourth proportional to 829.56, 1,244.42 and 282.12 is: 423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,244.42 = 282.12 : x
  2. Step 2: Convert to fraction form
    829.56/1,244.42 = 282.12/x
  3. Step 3: Cross multiply
    829.56x = 1,244.42 × 282.12
  4. Step 4: Simplify right side
    829.56x = 351,075.77
  5. Step 5: Solve for x
    x = 351,075.77/829.56
  6. Step 6: Final answer
    x = 423.21

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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.