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Finding the Fourth Proportional to 1,182.30, 1,631.12 and 888.81

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Solution

The fourth proportional to 1,182.30, 1,631.12 and 888.81 is: 1,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.30 : 1,631.12 = 888.81 : x
  2. Step 2: Convert to fraction form
    1,182.30/1,631.12 = 888.81/x
  3. Step 3: Cross multiply
    1,182.30x = 1,631.12 × 888.81
  4. Step 4: Simplify right side
    1,182.30x = 1,449,751.32
  5. Step 5: Solve for x
    x = 1,449,751.32/1,182.30
  6. Step 6: Final answer
    x = 1,226.21

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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.