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Finding the Fourth Proportional to 1,294.04, 1,786.38 and 828.56

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Solution

The fourth proportional to 1,294.04, 1,786.38 and 828.56 is: 1,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.04 : 1,786.38 = 828.56 : x
  2. Step 2: Convert to fraction form
    1,294.04/1,786.38 = 828.56/x
  3. Step 3: Cross multiply
    1,294.04x = 1,786.38 × 828.56
  4. Step 4: Simplify right side
    1,294.04x = 1,480,123.01
  5. Step 5: Solve for x
    x = 1,480,123.01/1,294.04
  6. Step 6: Final answer
    x = 1,143.80

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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.