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Finding the Fourth Proportional to 1,091.72, 1,637.57 and 270.00

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Solution

The fourth proportional to 1,091.72, 1,637.57 and 270.00 is: 405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.72 : 1,637.57 = 270.00 : x
  2. Step 2: Convert to fraction form
    1,091.72/1,637.57 = 270.00/x
  3. Step 3: Cross multiply
    1,091.72x = 1,637.57 × 270.00
  4. Step 4: Simplify right side
    1,091.72x = 442,150.72
  5. Step 5: Solve for x
    x = 442,150.72/1,091.72
  6. Step 6: Final answer
    x = 405.00

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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.