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Finding the Fourth Proportional to 1,317.87, 1,976.07 and 829.88

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Solution

The fourth proportional to 1,317.87, 1,976.07 and 829.88 is: 1,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.87 : 1,976.07 = 829.88 : x
  2. Step 2: Convert to fraction form
    1,317.87/1,976.07 = 829.88/x
  3. Step 3: Cross multiply
    1,317.87x = 1,976.07 × 829.88
  4. Step 4: Simplify right side
    1,317.87x = 1,639,891.09
  5. Step 5: Solve for x
    x = 1,639,891.09/1,317.87
  6. Step 6: Final answer
    x = 1,244.35

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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.