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Finding the Fourth Proportional to 1,427.29, 1,969.92 and 829.86

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Solution

The fourth proportional to 1,427.29, 1,969.92 and 829.86 is: 1,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.29 : 1,969.92 = 829.86 : x
  2. Step 2: Convert to fraction form
    1,427.29/1,969.92 = 829.86/x
  3. Step 3: Cross multiply
    1,427.29x = 1,969.92 × 829.86
  4. Step 4: Simplify right side
    1,427.29x = 1,634,753.66
  5. Step 5: Solve for x
    x = 1,634,753.66/1,427.29
  6. Step 6: Final answer
    x = 1,145.36

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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.