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Finding the Fourth Proportional to 1,091.76, 1,646.57 and 1,072.32

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Solution

The fourth proportional to 1,091.76, 1,646.57 and 1,072.32 is: 1,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.76 : 1,646.57 = 1,072.32 : x
  2. Step 2: Convert to fraction form
    1,091.76/1,646.57 = 1,072.32/x
  3. Step 3: Cross multiply
    1,091.76x = 1,646.57 × 1,072.32
  4. Step 4: Simplify right side
    1,091.76x = 1,765,644.58
  5. Step 5: Solve for x
    x = 1,765,644.58/1,091.76
  6. Step 6: Final answer
    x = 1,617.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.