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Finding the Fourth Proportional to 1,434.05, 2,151.02 and 408.05

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Solution

The fourth proportional to 1,434.05, 2,151.02 and 408.05 is: 612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.05 : 2,151.02 = 408.05 : x
  2. Step 2: Convert to fraction form
    1,434.05/2,151.02 = 408.05/x
  3. Step 3: Cross multiply
    1,434.05x = 2,151.02 × 408.05
  4. Step 4: Simplify right side
    1,434.05x = 877,713.98
  5. Step 5: Solve for x
    x = 877,713.98/1,434.05
  6. Step 6: Final answer
    x = 612.05

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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.