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Finding the Fourth Proportional to 975.97, 1,462.83 and 829.27

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Solution

The fourth proportional to 975.97, 1,462.83 and 829.27 is: 1,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.97 : 1,462.83 = 829.27 : x
  2. Step 2: Convert to fraction form
    975.97/1,462.83 = 829.27/x
  3. Step 3: Cross multiply
    975.97x = 1,462.83 × 829.27
  4. Step 4: Simplify right side
    975.97x = 1,213,081.03
  5. Step 5: Solve for x
    x = 1,213,081.03/975.97
  6. Step 6: Final answer
    x = 1,242.95

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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.