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Finding the Fourth Proportional to 1,086.72, 1,627.24 and 903.56

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Solution

The fourth proportional to 1,086.72, 1,627.24 and 903.56 is: 1,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.72 : 1,627.24 = 903.56 : x
  2. Step 2: Convert to fraction form
    1,086.72/1,627.24 = 903.56/x
  3. Step 3: Cross multiply
    1,086.72x = 1,627.24 × 903.56
  4. Step 4: Simplify right side
    1,086.72x = 1,470,300.27
  5. Step 5: Solve for x
    x = 1,470,300.27/1,086.72
  6. Step 6: Final answer
    x = 1,352.98

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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.