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Finding the Fourth Proportional to 885.84, 1,327.94 and 452.89

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Solution

The fourth proportional to 885.84, 1,327.94 and 452.89 is: 678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.84 : 1,327.94 = 452.89 : x
  2. Step 2: Convert to fraction form
    885.84/1,327.94 = 452.89/x
  3. Step 3: Cross multiply
    885.84x = 1,327.94 × 452.89
  4. Step 4: Simplify right side
    885.84x = 601,410.75
  5. Step 5: Solve for x
    x = 601,410.75/885.84
  6. Step 6: Final answer
    x = 678.92

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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.