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Finding the Fourth Proportional to 864.82, 1,298.44 and 825.63

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Solution

The fourth proportional to 864.82, 1,298.44 and 825.63 is: 1,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.82 : 1,298.44 = 825.63 : x
  2. Step 2: Convert to fraction form
    864.82/1,298.44 = 825.63/x
  3. Step 3: Cross multiply
    864.82x = 1,298.44 × 825.63
  4. Step 4: Simplify right side
    864.82x = 1,072,031.02
  5. Step 5: Solve for x
    x = 1,072,031.02/864.82
  6. Step 6: Final answer
    x = 1,239.61

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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.