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Finding the Fourth Proportional to 755.08, 1,042.44 and 657.88

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Solution

The fourth proportional to 755.08, 1,042.44 and 657.88 is: 908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.08 : 1,042.44 = 657.88 : x
  2. Step 2: Convert to fraction form
    755.08/1,042.44 = 657.88/x
  3. Step 3: Cross multiply
    755.08x = 1,042.44 × 657.88
  4. Step 4: Simplify right side
    755.08x = 685,800.43
  5. Step 5: Solve for x
    x = 685,800.43/755.08
  6. Step 6: Final answer
    x = 908.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.