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Finding the Fourth Proportional to 829.98, 1,244.70 and 282.02

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Solution

The fourth proportional to 829.98, 1,244.70 and 282.02 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.98 : 1,244.70 = 282.02 : x
  2. Step 2: Convert to fraction form
    829.98/1,244.70 = 282.02/x
  3. Step 3: Cross multiply
    829.98x = 1,244.70 × 282.02
  4. Step 4: Simplify right side
    829.98x = 351,024.07
  5. Step 5: Solve for x
    x = 351,024.07/829.98
  6. Step 6: Final answer
    x = 422.93

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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.