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Finding the Fourth Proportional to 1,091.72, 1,627.57 and 1,018.76

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Solution

The fourth proportional to 1,091.72, 1,627.57 and 1,018.76 is: 1,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.72 : 1,627.57 = 1,018.76 : x
  2. Step 2: Convert to fraction form
    1,091.72/1,627.57 = 1,018.76/x
  3. Step 3: Cross multiply
    1,091.72x = 1,627.57 × 1,018.76
  4. Step 4: Simplify right side
    1,091.72x = 1,658,103.21
  5. Step 5: Solve for x
    x = 1,658,103.21/1,091.72
  6. Step 6: Final answer
    x = 1,518.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.