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Finding the Fourth Proportional to 667.02, 1,001.75 and 505.83

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Solution

The fourth proportional to 667.02, 1,001.75 and 505.83 is: 759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.02 : 1,001.75 = 505.83 : x
  2. Step 2: Convert to fraction form
    667.02/1,001.75 = 505.83/x
  3. Step 3: Cross multiply
    667.02x = 1,001.75 × 505.83
  4. Step 4: Simplify right side
    667.02x = 506,712.67
  5. Step 5: Solve for x
    x = 506,712.67/667.02
  6. Step 6: Final answer
    x = 759.67

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