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Finding the Fourth Proportional to 955.48, 1,435.38 and 825.88

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Solution

The fourth proportional to 955.48, 1,435.38 and 825.88 is: 1,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.48 : 1,435.38 = 825.88 : x
  2. Step 2: Convert to fraction form
    955.48/1,435.38 = 825.88/x
  3. Step 3: Cross multiply
    955.48x = 1,435.38 × 825.88
  4. Step 4: Simplify right side
    955.48x = 1,185,451.63
  5. Step 5: Solve for x
    x = 1,185,451.63/955.48
  6. Step 6: Final answer
    x = 1,240.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.