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Finding the Fourth Proportional to 885.21, 1,327.64 and 841.31

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Solution

The fourth proportional to 885.21, 1,327.64 and 841.31 is: 1,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.21 : 1,327.64 = 841.31 : x
  2. Step 2: Convert to fraction form
    885.21/1,327.64 = 841.31/x
  3. Step 3: Cross multiply
    885.21x = 1,327.64 × 841.31
  4. Step 4: Simplify right side
    885.21x = 1,116,950.17
  5. Step 5: Solve for x
    x = 1,116,950.17/885.21
  6. Step 6: Final answer
    x = 1,261.79

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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.