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Finding the Fourth Proportional to 1,086.36, 1,497.78 and 712.69

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Solution

The fourth proportional to 1,086.36, 1,497.78 and 712.69 is: 982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.36 : 1,497.78 = 712.69 : x
  2. Step 2: Convert to fraction form
    1,086.36/1,497.78 = 712.69/x
  3. Step 3: Cross multiply
    1,086.36x = 1,497.78 × 712.69
  4. Step 4: Simplify right side
    1,086.36x = 1,067,449.08
  5. Step 5: Solve for x
    x = 1,067,449.08/1,086.36
  6. Step 6: Final answer
    x = 982.60

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1.5x scale

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.