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Finding the Fourth Proportional to 1,007.84, 1,511.27 and 422.67

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Solution

The fourth proportional to 1,007.84, 1,511.27 and 422.67 is: 633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.84 : 1,511.27 = 422.67 : x
  2. Step 2: Convert to fraction form
    1,007.84/1,511.27 = 422.67/x
  3. Step 3: Cross multiply
    1,007.84x = 1,511.27 × 422.67
  4. Step 4: Simplify right side
    1,007.84x = 638,766.38
  5. Step 5: Solve for x
    x = 638,766.38/1,007.84
  6. Step 6: Final answer
    x = 633.80

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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.