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Finding the Fourth Proportional to 785.21, 1,177.82 and 265.14

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Solution

The fourth proportional to 785.21, 1,177.82 and 265.14 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.21 : 1,177.82 = 265.14 : x
  2. Step 2: Convert to fraction form
    785.21/1,177.82 = 265.14/x
  3. Step 3: Cross multiply
    785.21x = 1,177.82 × 265.14
  4. Step 4: Simplify right side
    785.21x = 312,285.87
  5. Step 5: Solve for x
    x = 312,285.87/785.21
  6. Step 6: Final answer
    x = 397.71

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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.