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Finding the Fourth Proportional to 788.53, 1,182.24 and 349.54

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Solution

The fourth proportional to 788.53, 1,182.24 and 349.54 is: 524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.53 : 1,182.24 = 349.54 : x
  2. Step 2: Convert to fraction form
    788.53/1,182.24 = 349.54/x
  3. Step 3: Cross multiply
    788.53x = 1,182.24 × 349.54
  4. Step 4: Simplify right side
    788.53x = 413,237.21
  5. Step 5: Solve for x
    x = 413,237.21/788.53
  6. Step 6: Final answer
    x = 524.06

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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.