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Finding the Fourth Proportional to 881.25, 1,321.44 and 264.77

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Solution

The fourth proportional to 881.25, 1,321.44 and 264.77 is: 397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.25 : 1,321.44 = 264.77 : x
  2. Step 2: Convert to fraction form
    881.25/1,321.44 = 264.77/x
  3. Step 3: Cross multiply
    881.25x = 1,321.44 × 264.77
  4. Step 4: Simplify right side
    881.25x = 349,877.67
  5. Step 5: Solve for x
    x = 349,877.67/881.25
  6. Step 6: Final answer
    x = 397.02

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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.