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Finding the Fourth Proportional to 1,212.04, 1,817.52 and 431.79

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Solution

The fourth proportional to 1,212.04, 1,817.52 and 431.79 is: 647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.04 : 1,817.52 = 431.79 : x
  2. Step 2: Convert to fraction form
    1,212.04/1,817.52 = 431.79/x
  3. Step 3: Cross multiply
    1,212.04x = 1,817.52 × 431.79
  4. Step 4: Simplify right side
    1,212.04x = 784,786.96
  5. Step 5: Solve for x
    x = 784,786.96/1,212.04
  6. Step 6: Final answer
    x = 647.49

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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.