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Finding the Fourth Proportional to 993.02, 1,485.06 and 758.83

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Solution

The fourth proportional to 993.02, 1,485.06 and 758.83 is: 1,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.02 : 1,485.06 = 758.83 : x
  2. Step 2: Convert to fraction form
    993.02/1,485.06 = 758.83/x
  3. Step 3: Cross multiply
    993.02x = 1,485.06 × 758.83
  4. Step 4: Simplify right side
    993.02x = 1,126,896.86
  5. Step 5: Solve for x
    x = 1,126,896.86/993.02
  6. Step 6: Final answer
    x = 1,134.82

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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.