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Finding the Fourth Proportional to 833.40, 1,249.20 and 443.15

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Solution

The fourth proportional to 833.40, 1,249.20 and 443.15 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.40 : 1,249.20 = 443.15 : x
  2. Step 2: Convert to fraction form
    833.40/1,249.20 = 443.15/x
  3. Step 3: Cross multiply
    833.40x = 1,249.20 × 443.15
  4. Step 4: Simplify right side
    833.40x = 553,576.73
  5. Step 5: Solve for x
    x = 553,576.73/833.40
  6. Step 6: Final answer
    x = 664.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.