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Finding the Fourth Proportional to 1,110.44, 1,533.12 and 993.80

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Solution

The fourth proportional to 1,110.44, 1,533.12 and 993.80 is: 1,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.44 : 1,533.12 = 993.80 : x
  2. Step 2: Convert to fraction form
    1,110.44/1,533.12 = 993.80/x
  3. Step 3: Cross multiply
    1,110.44x = 1,533.12 × 993.80
  4. Step 4: Simplify right side
    1,110.44x = 1,523,614.66
  5. Step 5: Solve for x
    x = 1,523,614.66/1,110.44
  6. Step 6: Final answer
    x = 1,372.08

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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.