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Finding the Fourth Proportional to 782.28, 1,077.96 and 663.88

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Solution

The fourth proportional to 782.28, 1,077.96 and 663.88 is: 914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.28 : 1,077.96 = 663.88 : x
  2. Step 2: Convert to fraction form
    782.28/1,077.96 = 663.88/x
  3. Step 3: Cross multiply
    782.28x = 1,077.96 × 663.88
  4. Step 4: Simplify right side
    782.28x = 715,636.08
  5. Step 5: Solve for x
    x = 715,636.08/782.28
  6. Step 6: Final answer
    x = 914.81

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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.