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Finding the Fourth Proportional to 755.64, 1,042.32 and 493.56

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Solution

The fourth proportional to 755.64, 1,042.32 and 493.56 is: 680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.64 : 1,042.32 = 493.56 : x
  2. Step 2: Convert to fraction form
    755.64/1,042.32 = 493.56/x
  3. Step 3: Cross multiply
    755.64x = 1,042.32 × 493.56
  4. Step 4: Simplify right side
    755.64x = 514,447.46
  5. Step 5: Solve for x
    x = 514,447.46/755.64
  6. Step 6: Final answer
    x = 680.81

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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.