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Finding the Fourth Proportional to 825.65, 1,237.79 and 386.69

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Solution

The fourth proportional to 825.65, 1,237.79 and 386.69 is: 579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.65 : 1,237.79 = 386.69 : x
  2. Step 2: Convert to fraction form
    825.65/1,237.79 = 386.69/x
  3. Step 3: Cross multiply
    825.65x = 1,237.79 × 386.69
  4. Step 4: Simplify right side
    825.65x = 478,633.62
  5. Step 5: Solve for x
    x = 478,633.62/825.65
  6. Step 6: Final answer
    x = 579.71

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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.