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Finding the Fourth Proportional to 1,382.99, 1,908.55 and 753.54

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Solution

The fourth proportional to 1,382.99, 1,908.55 and 753.54 is: 1,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.99 : 1,908.55 = 753.54 : x
  2. Step 2: Convert to fraction form
    1,382.99/1,908.55 = 753.54/x
  3. Step 3: Cross multiply
    1,382.99x = 1,908.55 × 753.54
  4. Step 4: Simplify right side
    1,382.99x = 1,438,162.55
  5. Step 5: Solve for x
    x = 1,438,162.55/1,382.99
  6. Step 6: Final answer
    x = 1,039.90

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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.