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Finding the Fourth Proportional to 1,093.64, 1,508.00 and 893.85

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Solution

The fourth proportional to 1,093.64, 1,508.00 and 893.85 is: 1,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.64 : 1,508.00 = 893.85 : x
  2. Step 2: Convert to fraction form
    1,093.64/1,508.00 = 893.85/x
  3. Step 3: Cross multiply
    1,093.64x = 1,508.00 × 893.85
  4. Step 4: Simplify right side
    1,093.64x = 1,347,924.56
  5. Step 5: Solve for x
    x = 1,347,924.56/1,093.64
  6. Step 6: Final answer
    x = 1,232.51

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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.