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Finding the Fourth Proportional to 778.43, 1,167.64 and 258.67

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Solution

The fourth proportional to 778.43, 1,167.64 and 258.67 is: 388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.43 : 1,167.64 = 258.67 : x
  2. Step 2: Convert to fraction form
    778.43/1,167.64 = 258.67/x
  3. Step 3: Cross multiply
    778.43x = 1,167.64 × 258.67
  4. Step 4: Simplify right side
    778.43x = 302,032.15
  5. Step 5: Solve for x
    x = 302,032.15/778.43
  6. Step 6: Final answer
    x = 388.00

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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.