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Finding the Fourth Proportional to 785.11, 1,177.57 and 208.03

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Solution

The fourth proportional to 785.11, 1,177.57 and 208.03 is: 312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.11 : 1,177.57 = 208.03 : x
  2. Step 2: Convert to fraction form
    785.11/1,177.57 = 208.03/x
  3. Step 3: Cross multiply
    785.11x = 1,177.57 × 208.03
  4. Step 4: Simplify right side
    785.11x = 244,969.89
  5. Step 5: Solve for x
    x = 244,969.89/785.11
  6. Step 6: Final answer
    x = 312.02

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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.