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Finding the Fourth Proportional to 785.87, 1,178.57 and 513.39

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Solution

The fourth proportional to 785.87, 1,178.57 and 513.39 is: 769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.87 : 1,178.57 = 513.39 : x
  2. Step 2: Convert to fraction form
    785.87/1,178.57 = 513.39/x
  3. Step 3: Cross multiply
    785.87x = 1,178.57 × 513.39
  4. Step 4: Simplify right side
    785.87x = 605,063.49
  5. Step 5: Solve for x
    x = 605,063.49/785.87
  6. Step 6: Final answer
    x = 769.93

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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.