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Finding the Fourth Proportional to 1,537.56, 2,304.42 and 806.76

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Solution

The fourth proportional to 1,537.56, 2,304.42 and 806.76 is: 1,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.56 : 2,304.42 = 806.76 : x
  2. Step 2: Convert to fraction form
    1,537.56/2,304.42 = 806.76/x
  3. Step 3: Cross multiply
    1,537.56x = 2,304.42 × 806.76
  4. Step 4: Simplify right side
    1,537.56x = 1,859,113.88
  5. Step 5: Solve for x
    x = 1,859,113.88/1,537.56
  6. Step 6: Final answer
    x = 1,209.13

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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.