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Finding the Fourth Proportional to 1,189.94, 1,785.06 and 449.42

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Solution

The fourth proportional to 1,189.94, 1,785.06 and 449.42 is: 674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.94 : 1,785.06 = 449.42 : x
  2. Step 2: Convert to fraction form
    1,189.94/1,785.06 = 449.42/x
  3. Step 3: Cross multiply
    1,189.94x = 1,785.06 × 449.42
  4. Step 4: Simplify right side
    1,189.94x = 802,232.74
  5. Step 5: Solve for x
    x = 802,232.74/1,189.94
  6. Step 6: Final answer
    x = 674.18

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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.