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Finding the Fourth Proportional to 919.04, 1,265.28 and 823.68

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Solution

The fourth proportional to 919.04, 1,265.28 and 823.68 is: 1,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.04 : 1,265.28 = 823.68 : x
  2. Step 2: Convert to fraction form
    919.04/1,265.28 = 823.68/x
  3. Step 3: Cross multiply
    919.04x = 1,265.28 × 823.68
  4. Step 4: Simplify right side
    919.04x = 1,042,185.83
  5. Step 5: Solve for x
    x = 1,042,185.83/919.04
  6. Step 6: Final answer
    x = 1,133.99

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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.