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Finding the Fourth Proportional to 1,049.64, 1,449.63 and 830.22

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Solution

The fourth proportional to 1,049.64, 1,449.63 and 830.22 is: 1,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.64 : 1,449.63 = 830.22 : x
  2. Step 2: Convert to fraction form
    1,049.64/1,449.63 = 830.22/x
  3. Step 3: Cross multiply
    1,049.64x = 1,449.63 × 830.22
  4. Step 4: Simplify right side
    1,049.64x = 1,203,511.82
  5. Step 5: Solve for x
    x = 1,203,511.82/1,049.64
  6. Step 6: Final answer
    x = 1,146.59

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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.