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Finding the Fourth Proportional to 1,382.67, 1,908.10 and 753.21

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Solution

The fourth proportional to 1,382.67, 1,908.10 and 753.21 is: 1,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.67 : 1,908.10 = 753.21 : x
  2. Step 2: Convert to fraction form
    1,382.67/1,908.10 = 753.21/x
  3. Step 3: Cross multiply
    1,382.67x = 1,908.10 × 753.21
  4. Step 4: Simplify right side
    1,382.67x = 1,437,200.00
  5. Step 5: Solve for x
    x = 1,437,200.00/1,382.67
  6. Step 6: Final answer
    x = 1,039.44

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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.