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Finding the Fourth Proportional to 829.03, 1,242.78 and 280.83

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Solution

The fourth proportional to 829.03, 1,242.78 and 280.83 is: 420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.03 : 1,242.78 = 280.83 : x
  2. Step 2: Convert to fraction form
    829.03/1,242.78 = 280.83/x
  3. Step 3: Cross multiply
    829.03x = 1,242.78 × 280.83
  4. Step 4: Simplify right side
    829.03x = 349,008.50
  5. Step 5: Solve for x
    x = 349,008.50/829.03
  6. Step 6: Final answer
    x = 420.98

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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.