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Finding the Fourth Proportional to 1,004.42, 1,504.45 and 829.12

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Solution

The fourth proportional to 1,004.42, 1,504.45 and 829.12 is: 1,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.42 : 1,504.45 = 829.12 : x
  2. Step 2: Convert to fraction form
    1,004.42/1,504.45 = 829.12/x
  3. Step 3: Cross multiply
    1,004.42x = 1,504.45 × 829.12
  4. Step 4: Simplify right side
    1,004.42x = 1,247,369.58
  5. Step 5: Solve for x
    x = 1,247,369.58/1,004.42
  6. Step 6: Final answer
    x = 1,241.88

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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.