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Finding the Fourth Proportional to 1,289.69, 1,934.54 and 424

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Solution

The fourth proportional to 1,289.69, 1,934.54 and 424 is: 636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.69 : 1,934.54 = 424 : x
  2. Step 2: Convert to fraction form
    1,289.69/1,934.54 = 424/x
  3. Step 3: Cross multiply
    1,289.69x = 1,934.54 × 424
  4. Step 4: Simplify right side
    1,289.69x = 820,244.96
  5. Step 5: Solve for x
    x = 820,244.96/1,289.69
  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.