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Finding the Fourth Proportional to 1,084.82, 1,496.67 and 712.02

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Solution

The fourth proportional to 1,084.82, 1,496.67 and 712.02 is: 982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.82 : 1,496.67 = 712.02 : x
  2. Step 2: Convert to fraction form
    1,084.82/1,496.67 = 712.02/x
  3. Step 3: Cross multiply
    1,084.82x = 1,496.67 × 712.02
  4. Step 4: Simplify right side
    1,084.82x = 1,065,658.97
  5. Step 5: Solve for x
    x = 1,065,658.97/1,084.82
  6. Step 6: Final answer
    x = 982.34

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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.