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Finding the Fourth Proportional to 778.92, 1,165.32 and 583.80

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Solution

The fourth proportional to 778.92, 1,165.32 and 583.80 is: 873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.92 : 1,165.32 = 583.80 : x
  2. Step 2: Convert to fraction form
    778.92/1,165.32 = 583.80/x
  3. Step 3: Cross multiply
    778.92x = 1,165.32 × 583.80
  4. Step 4: Simplify right side
    778.92x = 680,313.82
  5. Step 5: Solve for x
    x = 680,313.82/778.92
  6. Step 6: Final answer
    x = 873.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.