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Finding the Fourth Proportional to 1,474.88, 2,212.61 and 434.90

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Solution

The fourth proportional to 1,474.88, 2,212.61 and 434.90 is: 652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.88 : 2,212.61 = 434.90 : x
  2. Step 2: Convert to fraction form
    1,474.88/2,212.61 = 434.90/x
  3. Step 3: Cross multiply
    1,474.88x = 2,212.61 × 434.90
  4. Step 4: Simplify right side
    1,474.88x = 962,250.85
  5. Step 5: Solve for x
    x = 962,250.85/1,474.88
  6. Step 6: Final answer
    x = 652.43

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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.