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Finding the Fourth Proportional to 780.82, 1,077.24 and 449.08

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Solution

The fourth proportional to 780.82, 1,077.24 and 449.08 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.82 : 1,077.24 = 449.08 : x
  2. Step 2: Convert to fraction form
    780.82/1,077.24 = 449.08/x
  3. Step 3: Cross multiply
    780.82x = 1,077.24 × 449.08
  4. Step 4: Simplify right side
    780.82x = 483,766.94
  5. Step 5: Solve for x
    x = 483,766.94/780.82
  6. Step 6: Final answer
    x = 619.56

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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.