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Finding the Fourth Proportional to 755.68, 1,042.20 and 677.92

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Solution

The fourth proportional to 755.68, 1,042.20 and 677.92 is: 934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.68 : 1,042.20 = 677.92 : x
  2. Step 2: Convert to fraction form
    755.68/1,042.20 = 677.92/x
  3. Step 3: Cross multiply
    755.68x = 1,042.20 × 677.92
  4. Step 4: Simplify right side
    755.68x = 706,528.22
  5. Step 5: Solve for x
    x = 706,528.22/755.68
  6. Step 6: Final answer
    x = 934.96

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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.