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Finding the Fourth Proportional to 882.11, 1,322.73 and 265.65

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Solution

The fourth proportional to 882.11, 1,322.73 and 265.65 is: 398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.11 : 1,322.73 = 265.65 : x
  2. Step 2: Convert to fraction form
    882.11/1,322.73 = 265.65/x
  3. Step 3: Cross multiply
    882.11x = 1,322.73 × 265.65
  4. Step 4: Simplify right side
    882.11x = 351,383.22
  5. Step 5: Solve for x
    x = 351,383.22/882.11
  6. Step 6: Final answer
    x = 398.35

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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.