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Finding the Fourth Proportional to 866.99, 1,292.97 and 825.68

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Solution

The fourth proportional to 866.99, 1,292.97 and 825.68 is: 1,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.99 : 1,292.97 = 825.68 : x
  2. Step 2: Convert to fraction form
    866.99/1,292.97 = 825.68/x
  3. Step 3: Cross multiply
    866.99x = 1,292.97 × 825.68
  4. Step 4: Simplify right side
    866.99x = 1,067,573.00
  5. Step 5: Solve for x
    x = 1,067,573.00/866.99
  6. Step 6: Final answer
    x = 1,231.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.