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Finding the Fourth Proportional to 1,099.52, 1,518.04 and 981.29

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Solution

The fourth proportional to 1,099.52, 1,518.04 and 981.29 is: 1,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.52 : 1,518.04 = 981.29 : x
  2. Step 2: Convert to fraction form
    1,099.52/1,518.04 = 981.29/x
  3. Step 3: Cross multiply
    1,099.52x = 1,518.04 × 981.29
  4. Step 4: Simplify right side
    1,099.52x = 1,489,624.97
  5. Step 5: Solve for x
    x = 1,489,624.97/1,099.52
  6. Step 6: Final answer
    x = 1,354.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.