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Finding the Fourth Proportional to 1,203.14, 1,805.10 and 743.86

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Solution

The fourth proportional to 1,203.14, 1,805.10 and 743.86 is: 1,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.14 : 1,805.10 = 743.86 : x
  2. Step 2: Convert to fraction form
    1,203.14/1,805.10 = 743.86/x
  3. Step 3: Cross multiply
    1,203.14x = 1,805.10 × 743.86
  4. Step 4: Simplify right side
    1,203.14x = 1,342,741.69
  5. Step 5: Solve for x
    x = 1,342,741.69/1,203.14
  6. Step 6: Final answer
    x = 1,116.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.