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Finding the Fourth Proportional to 1,317.96, 1,974.72 and 829.92

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Solution

The fourth proportional to 1,317.96, 1,974.72 and 829.92 is: 1,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,974.72 = 829.92 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,974.72 = 829.92/x
  3. Step 3: Cross multiply
    1,317.96x = 1,974.72 × 829.92
  4. Step 4: Simplify right side
    1,317.96x = 1,638,859.62
  5. Step 5: Solve for x
    x = 1,638,859.62/1,317.96
  6. Step 6: Final answer
    x = 1,243.48

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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.