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Finding the Fourth Proportional to 782.92, 1,077.06 and 677.22

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Solution

The fourth proportional to 782.92, 1,077.06 and 677.22 is: 931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.92 : 1,077.06 = 677.22 : x
  2. Step 2: Convert to fraction form
    782.92/1,077.06 = 677.22/x
  3. Step 3: Cross multiply
    782.92x = 1,077.06 × 677.22
  4. Step 4: Simplify right side
    782.92x = 729,406.57
  5. Step 5: Solve for x
    x = 729,406.57/782.92
  6. Step 6: Final answer
    x = 931.65

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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.