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Finding the Fourth Proportional to 755.47, 1,042.77 and 493.53

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Solution

The fourth proportional to 755.47, 1,042.77 and 493.53 is: 681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.47 : 1,042.77 = 493.53 : x
  2. Step 2: Convert to fraction form
    755.47/1,042.77 = 493.53/x
  3. Step 3: Cross multiply
    755.47x = 1,042.77 × 493.53
  4. Step 4: Simplify right side
    755.47x = 514,638.28
  5. Step 5: Solve for x
    x = 514,638.28/755.47
  6. Step 6: Final answer
    x = 681.22

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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.