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Finding the Fourth Proportional to 1,169.19, 1,754.06 and 399.69

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Solution

The fourth proportional to 1,169.19, 1,754.06 and 399.69 is: 599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.19 : 1,754.06 = 399.69 : x
  2. Step 2: Convert to fraction form
    1,169.19/1,754.06 = 399.69/x
  3. Step 3: Cross multiply
    1,169.19x = 1,754.06 × 399.69
  4. Step 4: Simplify right side
    1,169.19x = 701,080.24
  5. Step 5: Solve for x
    x = 701,080.24/1,169.19
  6. Step 6: Final answer
    x = 599.63

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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.