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Finding the Fourth Proportional to 1,112.72, 1,530.98 and 1,085.39

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Solution

The fourth proportional to 1,112.72, 1,530.98 and 1,085.39 is: 1,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.72 : 1,530.98 = 1,085.39 : x
  2. Step 2: Convert to fraction form
    1,112.72/1,530.98 = 1,085.39/x
  3. Step 3: Cross multiply
    1,112.72x = 1,530.98 × 1,085.39
  4. Step 4: Simplify right side
    1,112.72x = 1,661,697.30
  5. Step 5: Solve for x
    x = 1,661,697.30/1,112.72
  6. Step 6: Final answer
    x = 1,493.37

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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.