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Finding the Fourth Proportional to 779.43, 1,168.41 and 292.35

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Solution

The fourth proportional to 779.43, 1,168.41 and 292.35 is: 438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.43 : 1,168.41 = 292.35 : x
  2. Step 2: Convert to fraction form
    779.43/1,168.41 = 292.35/x
  3. Step 3: Cross multiply
    779.43x = 1,168.41 × 292.35
  4. Step 4: Simplify right side
    779.43x = 341,584.66
  5. Step 5: Solve for x
    x = 341,584.66/779.43
  6. Step 6: Final answer
    x = 438.25

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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.