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Finding the Fourth Proportional to 829.81, 1,244.58 and 282.00

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Solution

The fourth proportional to 829.81, 1,244.58 and 282.00 is: 422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.81 : 1,244.58 = 282.00 : x
  2. Step 2: Convert to fraction form
    829.81/1,244.58 = 282.00/x
  3. Step 3: Cross multiply
    829.81x = 1,244.58 × 282.00
  4. Step 4: Simplify right side
    829.81x = 350,969.76
  5. Step 5: Solve for x
    x = 350,969.76/829.81
  6. Step 6: Final answer
    x = 422.95

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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.