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Finding the Fourth Proportional to 1,364.49, 1,882.49 and 833.19

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Solution

The fourth proportional to 1,364.49, 1,882.49 and 833.19 is: 1,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.49 : 1,882.49 = 833.19 : x
  2. Step 2: Convert to fraction form
    1,364.49/1,882.49 = 833.19/x
  3. Step 3: Cross multiply
    1,364.49x = 1,882.49 × 833.19
  4. Step 4: Simplify right side
    1,364.49x = 1,568,471.84
  5. Step 5: Solve for x
    x = 1,568,471.84/1,364.49
  6. Step 6: Final answer
    x = 1,149.49

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Half scale
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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.