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Finding the Fourth Proportional to 905.90, 1,357.02 and 743.09

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Solution

The fourth proportional to 905.90, 1,357.02 and 743.09 is: 1,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.90 : 1,357.02 = 743.09 : x
  2. Step 2: Convert to fraction form
    905.90/1,357.02 = 743.09/x
  3. Step 3: Cross multiply
    905.90x = 1,357.02 × 743.09
  4. Step 4: Simplify right side
    905.90x = 1,008,381.21
  5. Step 5: Solve for x
    x = 1,008,381.21/905.90
  6. Step 6: Final answer
    x = 1,113.13

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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.