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Finding the Fourth Proportional to 1,007.66, 1,511.92 and 422.80

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Solution

The fourth proportional to 1,007.66, 1,511.92 and 422.80 is: 634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.66 : 1,511.92 = 422.80 : x
  2. Step 2: Convert to fraction form
    1,007.66/1,511.92 = 422.80/x
  3. Step 3: Cross multiply
    1,007.66x = 1,511.92 × 422.80
  4. Step 4: Simplify right side
    1,007.66x = 639,242.65
  5. Step 5: Solve for x
    x = 639,242.65/1,007.66
  6. Step 6: Final answer
    x = 634.39

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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.