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Finding the Fourth Proportional to 935.83, 1,401.23 and 523.79

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Solution

The fourth proportional to 935.83, 1,401.23 and 523.79 is: 784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.83 : 1,401.23 = 523.79 : x
  2. Step 2: Convert to fraction form
    935.83/1,401.23 = 523.79/x
  3. Step 3: Cross multiply
    935.83x = 1,401.23 × 523.79
  4. Step 4: Simplify right side
    935.83x = 733,950.26
  5. Step 5: Solve for x
    x = 733,950.26/935.83
  6. Step 6: Final answer
    x = 784.28

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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.