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Finding the Fourth Proportional to 958.90, 1,435.83 and 742.66

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Solution

The fourth proportional to 958.90, 1,435.83 and 742.66 is: 1,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.90 : 1,435.83 = 742.66 : x
  2. Step 2: Convert to fraction form
    958.90/1,435.83 = 742.66/x
  3. Step 3: Cross multiply
    958.90x = 1,435.83 × 742.66
  4. Step 4: Simplify right side
    958.90x = 1,066,333.51
  5. Step 5: Solve for x
    x = 1,066,333.51/958.90
  6. Step 6: Final answer
    x = 1,112.04

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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.