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Finding the Fourth Proportional to 1,289.59, 1,934.52 and 423.97

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Solution

The fourth proportional to 1,289.59, 1,934.52 and 423.97 is: 636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.59 : 1,934.52 = 423.97 : x
  2. Step 2: Convert to fraction form
    1,289.59/1,934.52 = 423.97/x
  3. Step 3: Cross multiply
    1,289.59x = 1,934.52 × 423.97
  4. Step 4: Simplify right side
    1,289.59x = 820,178.44
  5. Step 5: Solve for x
    x = 820,178.44/1,289.59
  6. Step 6: Final answer
    x = 636.00

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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.