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Finding the Fourth Proportional to 1,337.01, 2,005.83 and 412.62

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Solution

The fourth proportional to 1,337.01, 2,005.83 and 412.62 is: 619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.01 : 2,005.83 = 412.62 : x
  2. Step 2: Convert to fraction form
    1,337.01/2,005.83 = 412.62/x
  3. Step 3: Cross multiply
    1,337.01x = 2,005.83 × 412.62
  4. Step 4: Simplify right side
    1,337.01x = 827,645.57
  5. Step 5: Solve for x
    x = 827,645.57/1,337.01
  6. Step 6: Final answer
    x = 619.03

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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.