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Finding the Fourth Proportional to 881.64, 1,322.03 and 265.23

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Solution

The fourth proportional to 881.64, 1,322.03 and 265.23 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.64 : 1,322.03 = 265.23 : x
  2. Step 2: Convert to fraction form
    881.64/1,322.03 = 265.23/x
  3. Step 3: Cross multiply
    881.64x = 1,322.03 × 265.23
  4. Step 4: Simplify right side
    881.64x = 350,638.38
  5. Step 5: Solve for x
    x = 350,638.38/881.64
  6. Step 6: Final answer
    x = 397.71

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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.