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Finding the Fourth Proportional to 665.85, 996.93 and 583.83

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Solution

The fourth proportional to 665.85, 996.93 and 583.83 is: 874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.85 : 996.93 = 583.83 : x
  2. Step 2: Convert to fraction form
    665.85/996.93 = 583.83/x
  3. Step 3: Cross multiply
    665.85x = 996.93 × 583.83
  4. Step 4: Simplify right side
    665.85x = 582,037.64
  5. Step 5: Solve for x
    x = 582,037.64/665.85
  6. Step 6: Final answer
    x = 874.13

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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.