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Finding the Fourth Proportional to 1,223.75, 1,834.34 and 675.78

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Solution

The fourth proportional to 1,223.75, 1,834.34 and 675.78 is: 1,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.75 : 1,834.34 = 675.78 : x
  2. Step 2: Convert to fraction form
    1,223.75/1,834.34 = 675.78/x
  3. Step 3: Cross multiply
    1,223.75x = 1,834.34 × 675.78
  4. Step 4: Simplify right side
    1,223.75x = 1,239,606.91
  5. Step 5: Solve for x
    x = 1,239,606.91/1,223.75
  6. Step 6: Final answer
    x = 1,012.96

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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.