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Finding the Fourth Proportional to 1,102.84, 1,521.84 and 683.80

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Solution

The fourth proportional to 1,102.84, 1,521.84 and 683.80 is: 943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.84 : 1,521.84 = 683.80 : x
  2. Step 2: Convert to fraction form
    1,102.84/1,521.84 = 683.80/x
  3. Step 3: Cross multiply
    1,102.84x = 1,521.84 × 683.80
  4. Step 4: Simplify right side
    1,102.84x = 1,040,634.19
  5. Step 5: Solve for x
    x = 1,040,634.19/1,102.84
  6. Step 6: Final answer
    x = 943.59

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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.