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Finding the Fourth Proportional to 1,537.26, 2,305.64 and 441.37

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Solution

The fourth proportional to 1,537.26, 2,305.64 and 441.37 is: 661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.26 : 2,305.64 = 441.37 : x
  2. Step 2: Convert to fraction form
    1,537.26/2,305.64 = 441.37/x
  3. Step 3: Cross multiply
    1,537.26x = 2,305.64 × 441.37
  4. Step 4: Simplify right side
    1,537.26x = 1,017,641.83
  5. Step 5: Solve for x
    x = 1,017,641.83/1,537.26
  6. Step 6: Final answer
    x = 661.99

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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.