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Finding the Fourth Proportional to 755.12, 1,042.32 and 506.35

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Solution

The fourth proportional to 755.12, 1,042.32 and 506.35 is: 698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.12 : 1,042.32 = 506.35 : x
  2. Step 2: Convert to fraction form
    755.12/1,042.32 = 506.35/x
  3. Step 3: Cross multiply
    755.12x = 1,042.32 × 506.35
  4. Step 4: Simplify right side
    755.12x = 527,779.09
  5. Step 5: Solve for x
    x = 527,779.09/755.12
  6. Step 6: Final answer
    x = 698.93

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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.