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Finding the Fourth Proportional to 955.68, 1,435.08 and 523.12

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Solution

The fourth proportional to 955.68, 1,435.08 and 523.12 is: 785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.68 : 1,435.08 = 523.12 : x
  2. Step 2: Convert to fraction form
    955.68/1,435.08 = 523.12/x
  3. Step 3: Cross multiply
    955.68x = 1,435.08 × 523.12
  4. Step 4: Simplify right side
    955.68x = 750,719.05
  5. Step 5: Solve for x
    x = 750,719.05/955.68
  6. Step 6: Final answer
    x = 785.53

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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.