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Finding the Fourth Proportional to 1,205.23, 1,808.96 and 743.91

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Solution

The fourth proportional to 1,205.23, 1,808.96 and 743.91 is: 1,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.23 : 1,808.96 = 743.91 : x
  2. Step 2: Convert to fraction form
    1,205.23/1,808.96 = 743.91/x
  3. Step 3: Cross multiply
    1,205.23x = 1,808.96 × 743.91
  4. Step 4: Simplify right side
    1,205.23x = 1,345,700.11
  5. Step 5: Solve for x
    x = 1,345,700.11/1,205.23
  6. Step 6: Final answer
    x = 1,116.55

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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.