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Finding the Fourth Proportional to 755.02, 1,042.06 and 506.38

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Solution

The fourth proportional to 755.02, 1,042.06 and 506.38 is: 698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.02 : 1,042.06 = 506.38 : x
  2. Step 2: Convert to fraction form
    755.02/1,042.06 = 506.38/x
  3. Step 3: Cross multiply
    755.02x = 1,042.06 × 506.38
  4. Step 4: Simplify right side
    755.02x = 527,673.13
  5. Step 5: Solve for x
    x = 527,673.13/755.02
  6. Step 6: Final answer
    x = 698.89

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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.