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Finding the Fourth Proportional to 1,122, 1,680.54 and 633.96

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Solution

The fourth proportional to 1,122, 1,680.54 and 633.96 is: 949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122 : 1,680.54 = 633.96 : x
  2. Step 2: Convert to fraction form
    1,122/1,680.54 = 633.96/x
  3. Step 3: Cross multiply
    1,122x = 1,680.54 × 633.96
  4. Step 4: Simplify right side
    1,122x = 1,065,395.14
  5. Step 5: Solve for x
    x = 1,065,395.14/1,122
  6. Step 6: Final answer
    x = 949.55

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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.