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Finding the Fourth Proportional to 778.49, 1,165.31 and 582.34

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Solution

The fourth proportional to 778.49, 1,165.31 and 582.34 is: 871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.49 : 1,165.31 = 582.34 : x
  2. Step 2: Convert to fraction form
    778.49/1,165.31 = 582.34/x
  3. Step 3: Cross multiply
    778.49x = 1,165.31 × 582.34
  4. Step 4: Simplify right side
    778.49x = 678,597.89
  5. Step 5: Solve for x
    x = 678,597.89/778.49
  6. Step 6: Final answer
    x = 871.68

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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.