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Finding the Fourth Proportional to 1,033.67, 1,427.27 and 679.83

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Solution

The fourth proportional to 1,033.67, 1,427.27 and 679.83 is: 938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.67 : 1,427.27 = 679.83 : x
  2. Step 2: Convert to fraction form
    1,033.67/1,427.27 = 679.83/x
  3. Step 3: Cross multiply
    1,033.67x = 1,427.27 × 679.83
  4. Step 4: Simplify right side
    1,033.67x = 970,297.56
  5. Step 5: Solve for x
    x = 970,297.56/1,033.67
  6. Step 6: Final answer
    x = 938.70

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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.