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Finding the Fourth Proportional to 1,093.44, 1,639.84 and 477.44

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Solution

The fourth proportional to 1,093.44, 1,639.84 and 477.44 is: 716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.44 : 1,639.84 = 477.44 : x
  2. Step 2: Convert to fraction form
    1,093.44/1,639.84 = 477.44/x
  3. Step 3: Cross multiply
    1,093.44x = 1,639.84 × 477.44
  4. Step 4: Simplify right side
    1,093.44x = 782,925.21
  5. Step 5: Solve for x
    x = 782,925.21/1,093.44
  6. Step 6: Final answer
    x = 716.02

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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.