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Finding the Fourth Proportional to 786.67, 1,084.26 and 576.79

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Solution

The fourth proportional to 786.67, 1,084.26 and 576.79 is: 794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.67 : 1,084.26 = 576.79 : x
  2. Step 2: Convert to fraction form
    786.67/1,084.26 = 576.79/x
  3. Step 3: Cross multiply
    786.67x = 1,084.26 × 576.79
  4. Step 4: Simplify right side
    786.67x = 625,390.33
  5. Step 5: Solve for x
    x = 625,390.33/786.67
  6. Step 6: Final answer
    x = 794.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.