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Finding the Fourth Proportional to 1,220.88, 1,685.07 and 828.03

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Solution

The fourth proportional to 1,220.88, 1,685.07 and 828.03 is: 1,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.88 : 1,685.07 = 828.03 : x
  2. Step 2: Convert to fraction form
    1,220.88/1,685.07 = 828.03/x
  3. Step 3: Cross multiply
    1,220.88x = 1,685.07 × 828.03
  4. Step 4: Simplify right side
    1,220.88x = 1,395,288.51
  5. Step 5: Solve for x
    x = 1,395,288.51/1,220.88
  6. Step 6: Final answer
    x = 1,142.85

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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.