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Finding the Fourth Proportional to 1,072.53, 1,610.16 and 829.21

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Solution

The fourth proportional to 1,072.53, 1,610.16 and 829.21 is: 1,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.53 : 1,610.16 = 829.21 : x
  2. Step 2: Convert to fraction form
    1,072.53/1,610.16 = 829.21/x
  3. Step 3: Cross multiply
    1,072.53x = 1,610.16 × 829.21
  4. Step 4: Simplify right side
    1,072.53x = 1,335,160.77
  5. Step 5: Solve for x
    x = 1,335,160.77/1,072.53
  6. Step 6: Final answer
    x = 1,244.87

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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.