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Finding the Fourth Proportional to 785.23, 1,177.50 and 257.99

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Solution

The fourth proportional to 785.23, 1,177.50 and 257.99 is: 386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.23 : 1,177.50 = 257.99 : x
  2. Step 2: Convert to fraction form
    785.23/1,177.50 = 257.99/x
  3. Step 3: Cross multiply
    785.23x = 1,177.50 × 257.99
  4. Step 4: Simplify right side
    785.23x = 303,778.30
  5. Step 5: Solve for x
    x = 303,778.30/785.23
  6. Step 6: Final answer
    x = 386.87

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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.