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Finding the Fourth Proportional to 675, 1,006.86 and 663.84

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Solution

The fourth proportional to 675, 1,006.86 and 663.84 is: 990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675 : 1,006.86 = 663.84 : x
  2. Step 2: Convert to fraction form
    675/1,006.86 = 663.84/x
  3. Step 3: Cross multiply
    675x = 1,006.86 × 663.84
  4. Step 4: Simplify right side
    675x = 668,393.94
  5. Step 5: Solve for x
    x = 668,393.94/675
  6. Step 6: Final answer
    x = 990.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.