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Finding the Fourth Proportional to 755.55, 1,042.56 and 472.14

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Solution

The fourth proportional to 755.55, 1,042.56 and 472.14 is: 651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.55 : 1,042.56 = 472.14 : x
  2. Step 2: Convert to fraction form
    755.55/1,042.56 = 472.14/x
  3. Step 3: Cross multiply
    755.55x = 1,042.56 × 472.14
  4. Step 4: Simplify right side
    755.55x = 492,234.28
  5. Step 5: Solve for x
    x = 492,234.28/755.55
  6. Step 6: Final answer
    x = 651.49

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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.