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Finding the Fourth Proportional to 829.04, 1,243.72 and 281.24

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Solution

The fourth proportional to 829.04, 1,243.72 and 281.24 is: 421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.04 : 1,243.72 = 281.24 : x
  2. Step 2: Convert to fraction form
    829.04/1,243.72 = 281.24/x
  3. Step 3: Cross multiply
    829.04x = 1,243.72 × 281.24
  4. Step 4: Simplify right side
    829.04x = 349,783.81
  5. Step 5: Solve for x
    x = 349,783.81/829.04
  6. Step 6: Final answer
    x = 421.91

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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.