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Finding the Fourth Proportional to 1,537.19, 2,305.99 and 496.84

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Solution

The fourth proportional to 1,537.19, 2,305.99 and 496.84 is: 745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.19 : 2,305.99 = 496.84 : x
  2. Step 2: Convert to fraction form
    1,537.19/2,305.99 = 496.84/x
  3. Step 3: Cross multiply
    1,537.19x = 2,305.99 × 496.84
  4. Step 4: Simplify right side
    1,537.19x = 1,145,705.59
  5. Step 5: Solve for x
    x = 1,145,705.59/1,537.19
  6. Step 6: Final answer
    x = 745.33

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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.