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Finding the Fourth Proportional to 755.25, 1,042.19 and 423.62

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Solution

The fourth proportional to 755.25, 1,042.19 and 423.62 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.25 : 1,042.19 = 423.62 : x
  2. Step 2: Convert to fraction form
    755.25/1,042.19 = 423.62/x
  3. Step 3: Cross multiply
    755.25x = 1,042.19 × 423.62
  4. Step 4: Simplify right side
    755.25x = 441,492.53
  5. Step 5: Solve for x
    x = 441,492.53/755.25
  6. Step 6: Final answer
    x = 584.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.