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Finding the Fourth Proportional to 788.59, 1,183.04 and 349.67

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Solution

The fourth proportional to 788.59, 1,183.04 and 349.67 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.59 : 1,183.04 = 349.67 : x
  2. Step 2: Convert to fraction form
    788.59/1,183.04 = 349.67/x
  3. Step 3: Cross multiply
    788.59x = 1,183.04 × 349.67
  4. Step 4: Simplify right side
    788.59x = 413,671.85
  5. Step 5: Solve for x
    x = 413,671.85/788.59
  6. Step 6: Final answer
    x = 524.57

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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.