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Finding the Fourth Proportional to 1,537.24, 2,305.86 and 511.24

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Solution

The fourth proportional to 1,537.24, 2,305.86 and 511.24 is: 766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.24 : 2,305.86 = 511.24 : x
  2. Step 2: Convert to fraction form
    1,537.24/2,305.86 = 511.24/x
  3. Step 3: Cross multiply
    1,537.24x = 2,305.86 × 511.24
  4. Step 4: Simplify right side
    1,537.24x = 1,178,847.87
  5. Step 5: Solve for x
    x = 1,178,847.87/1,537.24
  6. Step 6: Final answer
    x = 766.86

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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.