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Finding the Fourth Proportional to 788.34, 1,182.67 and 349.43

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Solution

The fourth proportional to 788.34, 1,182.67 and 349.43 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.34 : 1,182.67 = 349.43 : x
  2. Step 2: Convert to fraction form
    788.34/1,182.67 = 349.43/x
  3. Step 3: Cross multiply
    788.34x = 1,182.67 × 349.43
  4. Step 4: Simplify right side
    788.34x = 413,252.72
  5. Step 5: Solve for x
    x = 413,252.72/788.34
  6. Step 6: Final answer
    x = 524.21

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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.