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Finding the Fourth Proportional to 829.05, 1,144.04 and 456.02

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Solution

The fourth proportional to 829.05, 1,144.04 and 456.02 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.05 : 1,144.04 = 456.02 : x
  2. Step 2: Convert to fraction form
    829.05/1,144.04 = 456.02/x
  3. Step 3: Cross multiply
    829.05x = 1,144.04 × 456.02
  4. Step 4: Simplify right side
    829.05x = 521,697.12
  5. Step 5: Solve for x
    x = 521,697.12/829.05
  6. Step 6: Final answer
    x = 629.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.