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Finding the Fourth Proportional to 1,182.64, 1,634.29 and 887.40

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Solution

The fourth proportional to 1,182.64, 1,634.29 and 887.40 is: 1,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.64 : 1,634.29 = 887.40 : x
  2. Step 2: Convert to fraction form
    1,182.64/1,634.29 = 887.40/x
  3. Step 3: Cross multiply
    1,182.64x = 1,634.29 × 887.40
  4. Step 4: Simplify right side
    1,182.64x = 1,450,260.77
  5. Step 5: Solve for x
    x = 1,450,260.77/1,182.64
  6. Step 6: Final answer
    x = 1,226.29

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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.