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Finding the Fourth Proportional to 1,093.31, 1,640.64 and 632

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Solution

The fourth proportional to 1,093.31, 1,640.64 and 632 is: 948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.31 : 1,640.64 = 632 : x
  2. Step 2: Convert to fraction form
    1,093.31/1,640.64 = 632/x
  3. Step 3: Cross multiply
    1,093.31x = 1,640.64 × 632
  4. Step 4: Simplify right side
    1,093.31x = 1,036,884.48
  5. Step 5: Solve for x
    x = 1,036,884.48/1,093.31
  6. Step 6: Final answer
    x = 948.39

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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.