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Finding the Fourth Proportional to 885.78, 1,221.75 and 690.30

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Solution

The fourth proportional to 885.78, 1,221.75 and 690.30 is: 952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.78 : 1,221.75 = 690.30 : x
  2. Step 2: Convert to fraction form
    885.78/1,221.75 = 690.30/x
  3. Step 3: Cross multiply
    885.78x = 1,221.75 × 690.30
  4. Step 4: Simplify right side
    885.78x = 843,374.03
  5. Step 5: Solve for x
    x = 843,374.03/885.78
  6. Step 6: Final answer
    x = 952.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.