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Finding the Fourth Proportional to 829.89, 1,145.31 and 480.63

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Solution

The fourth proportional to 829.89, 1,145.31 and 480.63 is: 663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.89 : 1,145.31 = 480.63 : x
  2. Step 2: Convert to fraction form
    829.89/1,145.31 = 480.63/x
  3. Step 3: Cross multiply
    829.89x = 1,145.31 × 480.63
  4. Step 4: Simplify right side
    829.89x = 550,470.35
  5. Step 5: Solve for x
    x = 550,470.35/829.89
  6. Step 6: Final answer
    x = 663.31

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