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Finding the Fourth Proportional to 1,546.50, 2,319.25 and 506.22

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Solution

The fourth proportional to 1,546.50, 2,319.25 and 506.22 is: 759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.50 : 2,319.25 = 506.22 : x
  2. Step 2: Convert to fraction form
    1,546.50/2,319.25 = 506.22/x
  3. Step 3: Cross multiply
    1,546.50x = 2,319.25 × 506.22
  4. Step 4: Simplify right side
    1,546.50x = 1,174,037.87
  5. Step 5: Solve for x
    x = 1,174,037.87/1,546.50
  6. Step 6: Final answer
    x = 759.16

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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.