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Finding the Fourth Proportional to 755.14, 1,042.16 and 423.58

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Solution

The fourth proportional to 755.14, 1,042.16 and 423.58 is: 584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.14 : 1,042.16 = 423.58 : x
  2. Step 2: Convert to fraction form
    755.14/1,042.16 = 423.58/x
  3. Step 3: Cross multiply
    755.14x = 1,042.16 × 423.58
  4. Step 4: Simplify right side
    755.14x = 441,438.13
  5. Step 5: Solve for x
    x = 441,438.13/755.14
  6. Step 6: Final answer
    x = 584.58

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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.