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Finding the Fourth Proportional to 1,382.36, 2,073.86 and 732.95

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Solution

The fourth proportional to 1,382.36, 2,073.86 and 732.95 is: 1,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.36 : 2,073.86 = 732.95 : x
  2. Step 2: Convert to fraction form
    1,382.36/2,073.86 = 732.95/x
  3. Step 3: Cross multiply
    1,382.36x = 2,073.86 × 732.95
  4. Step 4: Simplify right side
    1,382.36x = 1,520,035.69
  5. Step 5: Solve for x
    x = 1,520,035.69/1,382.36
  6. Step 6: Final answer
    x = 1,099.59

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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.