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Finding the Fourth Proportional to 881.69, 1,322.54 and 265.35

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Solution

The fourth proportional to 881.69, 1,322.54 and 265.35 is: 398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.69 : 1,322.54 = 265.35 : x
  2. Step 2: Convert to fraction form
    881.69/1,322.54 = 265.35/x
  3. Step 3: Cross multiply
    881.69x = 1,322.54 × 265.35
  4. Step 4: Simplify right side
    881.69x = 350,937.27
  5. Step 5: Solve for x
    x = 350,937.27/881.69
  6. Step 6: Final answer
    x = 398.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.