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Finding the Fourth Proportional to 1,207.98, 1,812.24 and 386.30

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Solution

The fourth proportional to 1,207.98, 1,812.24 and 386.30 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.98 : 1,812.24 = 386.30 : x
  2. Step 2: Convert to fraction form
    1,207.98/1,812.24 = 386.30/x
  3. Step 3: Cross multiply
    1,207.98x = 1,812.24 × 386.30
  4. Step 4: Simplify right side
    1,207.98x = 700,072.84
  5. Step 5: Solve for x
    x = 700,072.84/1,207.98
  6. Step 6: Final answer
    x = 579.54

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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.