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Finding the Fourth Proportional to 755.21, 1,040.69 and 492.77

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Solution

The fourth proportional to 755.21, 1,040.69 and 492.77 is: 679.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.21 : 1,040.69 = 492.77 : x
  2. Step 2: Convert to fraction form
    755.21/1,040.69 = 492.77/x
  3. Step 3: Cross multiply
    755.21x = 1,040.69 × 492.77
  4. Step 4: Simplify right side
    755.21x = 512,813.14
  5. Step 5: Solve for x
    x = 512,813.14/755.21
  6. Step 6: Final answer
    x = 679.04

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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.