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Finding the Fourth Proportional to 785.92, 1,177.44 and 765.76

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Solution

The fourth proportional to 785.92, 1,177.44 and 765.76 is: 1,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.92 : 1,177.44 = 765.76 : x
  2. Step 2: Convert to fraction form
    785.92/1,177.44 = 765.76/x
  3. Step 3: Cross multiply
    785.92x = 1,177.44 × 765.76
  4. Step 4: Simplify right side
    785.92x = 901,636.45
  5. Step 5: Solve for x
    x = 901,636.45/785.92
  6. Step 6: Final answer
    x = 1,147.24

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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.