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Finding the Fourth Proportional to 885.04, 1,326.84 and 769.21

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Solution

The fourth proportional to 885.04, 1,326.84 and 769.21 is: 1,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.04 : 1,326.84 = 769.21 : x
  2. Step 2: Convert to fraction form
    885.04/1,326.84 = 769.21/x
  3. Step 3: Cross multiply
    885.04x = 1,326.84 × 769.21
  4. Step 4: Simplify right side
    885.04x = 1,020,618.60
  5. Step 5: Solve for x
    x = 1,020,618.60/885.04
  6. Step 6: Final answer
    x = 1,153.19

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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.