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Finding the Fourth Proportional to 785.28, 1,177.89 and 208.16

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Solution

The fourth proportional to 785.28, 1,177.89 and 208.16 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.28 : 1,177.89 = 208.16 : x
  2. Step 2: Convert to fraction form
    785.28/1,177.89 = 208.16/x
  3. Step 3: Cross multiply
    785.28x = 1,177.89 × 208.16
  4. Step 4: Simplify right side
    785.28x = 245,189.58
  5. Step 5: Solve for x
    x = 245,189.58/785.28
  6. Step 6: Final answer
    x = 312.23

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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.