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Finding the Fourth Proportional to 1,214.56, 1,822.44 and 829.04

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Solution

The fourth proportional to 1,214.56, 1,822.44 and 829.04 is: 1,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.56 : 1,822.44 = 829.04 : x
  2. Step 2: Convert to fraction form
    1,214.56/1,822.44 = 829.04/x
  3. Step 3: Cross multiply
    1,214.56x = 1,822.44 × 829.04
  4. Step 4: Simplify right side
    1,214.56x = 1,510,875.66
  5. Step 5: Solve for x
    x = 1,510,875.66/1,214.56
  6. Step 6: Final answer
    x = 1,243.97

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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.