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Finding the Fourth Proportional to 1,434, 2,151.81 and 664.50

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Solution

The fourth proportional to 1,434, 2,151.81 and 664.50 is: 997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434 : 2,151.81 = 664.50 : x
  2. Step 2: Convert to fraction form
    1,434/2,151.81 = 664.50/x
  3. Step 3: Cross multiply
    1,434x = 2,151.81 × 664.50
  4. Step 4: Simplify right side
    1,434x = 1,429,877.75
  5. Step 5: Solve for x
    x = 1,429,877.75/1,434
  6. Step 6: Final answer
    x = 997.13

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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.