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Finding the Fourth Proportional to 882.82, 1,321.65 and 825.11

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Solution

The fourth proportional to 882.82, 1,321.65 and 825.11 is: 1,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.82 : 1,321.65 = 825.11 : x
  2. Step 2: Convert to fraction form
    882.82/1,321.65 = 825.11/x
  3. Step 3: Cross multiply
    882.82x = 1,321.65 × 825.11
  4. Step 4: Simplify right side
    882.82x = 1,090,506.63
  5. Step 5: Solve for x
    x = 1,090,506.63/882.82
  6. Step 6: Final answer
    x = 1,235.25

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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.