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Finding the Fourth Proportional to 785.23, 1,177.71 and 395.41

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Solution

The fourth proportional to 785.23, 1,177.71 and 395.41 is: 593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.23 : 1,177.71 = 395.41 : x
  2. Step 2: Convert to fraction form
    785.23/1,177.71 = 395.41/x
  3. Step 3: Cross multiply
    785.23x = 1,177.71 × 395.41
  4. Step 4: Simplify right side
    785.23x = 465,676.12
  5. Step 5: Solve for x
    x = 465,676.12/785.23
  6. Step 6: Final answer
    x = 593.04

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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.