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Finding the Fourth Proportional to 829.72, 1,145.05 and 456.73

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Solution

The fourth proportional to 829.72, 1,145.05 and 456.73 is: 630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.72 : 1,145.05 = 456.73 : x
  2. Step 2: Convert to fraction form
    829.72/1,145.05 = 456.73/x
  3. Step 3: Cross multiply
    829.72x = 1,145.05 × 456.73
  4. Step 4: Simplify right side
    829.72x = 522,978.69
  5. Step 5: Solve for x
    x = 522,978.69/829.72
  6. Step 6: Final answer
    x = 630.31

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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.