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Finding the Fourth Proportional to 1,122, 1,683.69 and 824.97

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Solution

The fourth proportional to 1,122, 1,683.69 and 824.97 is: 1,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122 : 1,683.69 = 824.97 : x
  2. Step 2: Convert to fraction form
    1,122/1,683.69 = 824.97/x
  3. Step 3: Cross multiply
    1,122x = 1,683.69 × 824.97
  4. Step 4: Simplify right side
    1,122x = 1,388,993.74
  5. Step 5: Solve for x
    x = 1,388,993.74/1,122
  6. Step 6: Final answer
    x = 1,237.96

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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.