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Finding the Fourth Proportional to 1,537.17, 2,305.82 and 441.64

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Solution

The fourth proportional to 1,537.17, 2,305.82 and 441.64 is: 662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.17 : 2,305.82 = 441.64 : x
  2. Step 2: Convert to fraction form
    1,537.17/2,305.82 = 441.64/x
  3. Step 3: Cross multiply
    1,537.17x = 2,305.82 × 441.64
  4. Step 4: Simplify right side
    1,537.17x = 1,018,342.34
  5. Step 5: Solve for x
    x = 1,018,342.34/1,537.17
  6. Step 6: Final answer
    x = 662.48

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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.