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Finding the Fourth Proportional to 1,182.72, 1,633.28 and 1,118.08

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Solution

The fourth proportional to 1,182.72, 1,633.28 and 1,118.08 is: 1,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.72 : 1,633.28 = 1,118.08 : x
  2. Step 2: Convert to fraction form
    1,182.72/1,633.28 = 1,118.08/x
  3. Step 3: Cross multiply
    1,182.72x = 1,633.28 × 1,118.08
  4. Step 4: Simplify right side
    1,182.72x = 1,826,137.70
  5. Step 5: Solve for x
    x = 1,826,137.70/1,182.72
  6. Step 6: Final answer
    x = 1,544.02

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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.