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Finding the Fourth Proportional to 829.83, 1,244.75 and 282.02

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Solution

The fourth proportional to 829.83, 1,244.75 and 282.02 is: 423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.83 : 1,244.75 = 282.02 : x
  2. Step 2: Convert to fraction form
    829.83/1,244.75 = 282.02/x
  3. Step 3: Cross multiply
    829.83x = 1,244.75 × 282.02
  4. Step 4: Simplify right side
    829.83x = 351,046.10
  5. Step 5: Solve for x
    x = 351,046.10/829.83
  6. Step 6: Final answer
    x = 423.03

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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.