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Finding the Fourth Proportional to 1,006.63, 1,388.94 and 674.62

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Solution

The fourth proportional to 1,006.63, 1,388.94 and 674.62 is: 930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.63 : 1,388.94 = 674.62 : x
  2. Step 2: Convert to fraction form
    1,006.63/1,388.94 = 674.62/x
  3. Step 3: Cross multiply
    1,006.63x = 1,388.94 × 674.62
  4. Step 4: Simplify right side
    1,006.63x = 937,006.70
  5. Step 5: Solve for x
    x = 937,006.70/1,006.63
  6. Step 6: Final answer
    x = 930.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.