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Finding the Fourth Proportional to 1,131.64, 1,695.66 and 823

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Solution

The fourth proportional to 1,131.64, 1,695.66 and 823 is: 1,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.64 : 1,695.66 = 823 : x
  2. Step 2: Convert to fraction form
    1,131.64/1,695.66 = 823/x
  3. Step 3: Cross multiply
    1,131.64x = 1,695.66 × 823
  4. Step 4: Simplify right side
    1,131.64x = 1,395,528.18
  5. Step 5: Solve for x
    x = 1,395,528.18/1,131.64
  6. Step 6: Final answer
    x = 1,233.19

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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.