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Finding the Fourth Proportional to 785.89, 1,177.82 and 323.15

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Solution

The fourth proportional to 785.89, 1,177.82 and 323.15 is: 484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.89 : 1,177.82 = 323.15 : x
  2. Step 2: Convert to fraction form
    785.89/1,177.82 = 323.15/x
  3. Step 3: Cross multiply
    785.89x = 1,177.82 × 323.15
  4. Step 4: Simplify right side
    785.89x = 380,606.24
  5. Step 5: Solve for x
    x = 380,606.24/785.89
  6. Step 6: Final answer
    x = 484.30

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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.