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Finding the Fourth Proportional to 935.02, 1,408.08 and 814.73

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Solution

The fourth proportional to 935.02, 1,408.08 and 814.73 is: 1,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.02 : 1,408.08 = 814.73 : x
  2. Step 2: Convert to fraction form
    935.02/1,408.08 = 814.73/x
  3. Step 3: Cross multiply
    935.02x = 1,408.08 × 814.73
  4. Step 4: Simplify right side
    935.02x = 1,147,205.02
  5. Step 5: Solve for x
    x = 1,147,205.02/935.02
  6. Step 6: Final answer
    x = 1,226.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.