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Finding the Fourth Proportional to 1,049, 1,447.59 and 576.88

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Solution

The fourth proportional to 1,049, 1,447.59 and 576.88 is: 796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049 : 1,447.59 = 576.88 : x
  2. Step 2: Convert to fraction form
    1,049/1,447.59 = 576.88/x
  3. Step 3: Cross multiply
    1,049x = 1,447.59 × 576.88
  4. Step 4: Simplify right side
    1,049x = 835,085.72
  5. Step 5: Solve for x
    x = 835,085.72/1,049
  6. Step 6: Final answer
    x = 796.08

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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.