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Finding the Fourth Proportional to 1,412.96, 2,119.92 and 439.28

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Solution

The fourth proportional to 1,412.96, 2,119.92 and 439.28 is: 659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.96 : 2,119.92 = 439.28 : x
  2. Step 2: Convert to fraction form
    1,412.96/2,119.92 = 439.28/x
  3. Step 3: Cross multiply
    1,412.96x = 2,119.92 × 439.28
  4. Step 4: Simplify right side
    1,412.96x = 931,238.46
  5. Step 5: Solve for x
    x = 931,238.46/1,412.96
  6. Step 6: Final answer
    x = 659.07

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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.