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Finding the Fourth Proportional to 665.10, 996.93 and 527.94

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Solution

The fourth proportional to 665.10, 996.93 and 527.94 is: 791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.10 : 996.93 = 527.94 : x
  2. Step 2: Convert to fraction form
    665.10/996.93 = 527.94/x
  3. Step 3: Cross multiply
    665.10x = 996.93 × 527.94
  4. Step 4: Simplify right side
    665.10x = 526,319.22
  5. Step 5: Solve for x
    x = 526,319.22/665.10
  6. Step 6: Final answer
    x = 791.34

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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.