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Finding the Fourth Proportional to 881.34, 1,322.19 and 265.08

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Solution

The fourth proportional to 881.34, 1,322.19 and 265.08 is: 397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.34 : 1,322.19 = 265.08 : x
  2. Step 2: Convert to fraction form
    881.34/1,322.19 = 265.08/x
  3. Step 3: Cross multiply
    881.34x = 1,322.19 × 265.08
  4. Step 4: Simplify right side
    881.34x = 350,486.13
  5. Step 5: Solve for x
    x = 350,486.13/881.34
  6. Step 6: Final answer
    x = 397.67

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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.