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Finding the Fourth Proportional to 1,424.26, 2,134.93 and 546.53

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Solution

The fourth proportional to 1,424.26, 2,134.93 and 546.53 is: 819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.26 : 2,134.93 = 546.53 : x
  2. Step 2: Convert to fraction form
    1,424.26/2,134.93 = 546.53/x
  3. Step 3: Cross multiply
    1,424.26x = 2,134.93 × 546.53
  4. Step 4: Simplify right side
    1,424.26x = 1,166,792.62
  5. Step 5: Solve for x
    x = 1,166,792.62/1,424.26
  6. Step 6: Final answer
    x = 819.23

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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.