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Finding the Fourth Proportional to 1,546.58, 2,320.16 and 506.50

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Solution

The fourth proportional to 1,546.58, 2,320.16 and 506.50 is: 759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.58 : 2,320.16 = 506.50 : x
  2. Step 2: Convert to fraction form
    1,546.58/2,320.16 = 506.50/x
  3. Step 3: Cross multiply
    1,546.58x = 2,320.16 × 506.50
  4. Step 4: Simplify right side
    1,546.58x = 1,175,161.04
  5. Step 5: Solve for x
    x = 1,175,161.04/1,546.58
  6. Step 6: Final answer
    x = 759.84

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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.