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Finding the Fourth Proportional to 1,208.38, 1,812.85 and 386.65

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Solution

The fourth proportional to 1,208.38, 1,812.85 and 386.65 is: 580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.38 : 1,812.85 = 386.65 : x
  2. Step 2: Convert to fraction form
    1,208.38/1,812.85 = 386.65/x
  3. Step 3: Cross multiply
    1,208.38x = 1,812.85 × 386.65
  4. Step 4: Simplify right side
    1,208.38x = 700,939.75
  5. Step 5: Solve for x
    x = 700,939.75/1,208.38
  6. Step 6: Final answer
    x = 580.07

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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.