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Finding the Fourth Proportional to 1,212.57, 1,673.46 and 863.46

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Solution

The fourth proportional to 1,212.57, 1,673.46 and 863.46 is: 1,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.57 : 1,673.46 = 863.46 : x
  2. Step 2: Convert to fraction form
    1,212.57/1,673.46 = 863.46/x
  3. Step 3: Cross multiply
    1,212.57x = 1,673.46 × 863.46
  4. Step 4: Simplify right side
    1,212.57x = 1,444,965.77
  5. Step 5: Solve for x
    x = 1,444,965.77/1,212.57
  6. Step 6: Final answer
    x = 1,191.66

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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.