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Finding the Fourth Proportional to 1,537.05, 2,304.78 and 757.11

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Solution

The fourth proportional to 1,537.05, 2,304.78 and 757.11 is: 1,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.05 : 2,304.78 = 757.11 : x
  2. Step 2: Convert to fraction form
    1,537.05/2,304.78 = 757.11/x
  3. Step 3: Cross multiply
    1,537.05x = 2,304.78 × 757.11
  4. Step 4: Simplify right side
    1,537.05x = 1,744,971.99
  5. Step 5: Solve for x
    x = 1,744,971.99/1,537.05
  6. Step 6: Final answer
    x = 1,135.27

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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.