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Finding the Fourth Proportional to 1,091.03, 1,506.14 and 743.54

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Solution

The fourth proportional to 1,091.03, 1,506.14 and 743.54 is: 1,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.03 : 1,506.14 = 743.54 : x
  2. Step 2: Convert to fraction form
    1,091.03/1,506.14 = 743.54/x
  3. Step 3: Cross multiply
    1,091.03x = 1,506.14 × 743.54
  4. Step 4: Simplify right side
    1,091.03x = 1,119,864.09
  5. Step 5: Solve for x
    x = 1,119,864.09/1,091.03
  6. Step 6: Final answer
    x = 1,026.43

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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.