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Finding the Fourth Proportional to 778.99, 1,166.06 and 582.84

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Solution

The fourth proportional to 778.99, 1,166.06 and 582.84 is: 872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.99 : 1,166.06 = 582.84 : x
  2. Step 2: Convert to fraction form
    778.99/1,166.06 = 582.84/x
  3. Step 3: Cross multiply
    778.99x = 1,166.06 × 582.84
  4. Step 4: Simplify right side
    778.99x = 679,617.67
  5. Step 5: Solve for x
    x = 679,617.67/778.99
  6. Step 6: Final answer
    x = 872.43

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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.