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Finding the Fourth Proportional to 1,546.58, 2,319.93 and 506.54

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Solution

The fourth proportional to 1,546.58, 2,319.93 and 506.54 is: 759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.58 : 2,319.93 = 506.54 : x
  2. Step 2: Convert to fraction form
    1,546.58/2,319.93 = 506.54/x
  3. Step 3: Cross multiply
    1,546.58x = 2,319.93 × 506.54
  4. Step 4: Simplify right side
    1,546.58x = 1,175,143.14
  5. Step 5: Solve for x
    x = 1,175,143.14/1,546.58
  6. Step 6: Final answer
    x = 759.83

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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.