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Finding the Fourth Proportional to 1,412.45, 2,119.49 and 763.91

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Solution

The fourth proportional to 1,412.45, 2,119.49 and 763.91 is: 1,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.45 : 2,119.49 = 763.91 : x
  2. Step 2: Convert to fraction form
    1,412.45/2,119.49 = 763.91/x
  3. Step 3: Cross multiply
    1,412.45x = 2,119.49 × 763.91
  4. Step 4: Simplify right side
    1,412.45x = 1,619,095.79
  5. Step 5: Solve for x
    x = 1,619,095.79/1,412.45
  6. Step 6: Final answer
    x = 1,146.30

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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.