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Finding the Fourth Proportional to 955.98, 1,434.78 and 712.98

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Solution

The fourth proportional to 955.98, 1,434.78 and 712.98 is: 1,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.98 : 1,434.78 = 712.98 : x
  2. Step 2: Convert to fraction form
    955.98/1,434.78 = 712.98/x
  3. Step 3: Cross multiply
    955.98x = 1,434.78 × 712.98
  4. Step 4: Simplify right side
    955.98x = 1,022,969.44
  5. Step 5: Solve for x
    x = 1,022,969.44/955.98
  6. Step 6: Final answer
    x = 1,070.07

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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.