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Finding the Fourth Proportional to 829.80, 1,244.82 and 282.01

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Solution

The fourth proportional to 829.80, 1,244.82 and 282.01 is: 423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.80 : 1,244.82 = 282.01 : x
  2. Step 2: Convert to fraction form
    829.80/1,244.82 = 282.01/x
  3. Step 3: Cross multiply
    829.80x = 1,244.82 × 282.01
  4. Step 4: Simplify right side
    829.80x = 351,051.69
  5. Step 5: Solve for x
    x = 351,051.69/829.80
  6. Step 6: Final answer
    x = 423.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.