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Finding the Fourth Proportional to 1,091.28, 1,637.10 and 442.46

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Solution

The fourth proportional to 1,091.28, 1,637.10 and 442.46 is: 663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.28 : 1,637.10 = 442.46 : x
  2. Step 2: Convert to fraction form
    1,091.28/1,637.10 = 442.46/x
  3. Step 3: Cross multiply
    1,091.28x = 1,637.10 × 442.46
  4. Step 4: Simplify right side
    1,091.28x = 724,351.27
  5. Step 5: Solve for x
    x = 724,351.27/1,091.28
  6. Step 6: Final answer
    x = 663.76

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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.