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Finding the Fourth Proportional to 762, 1,051.80 and 486

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Solution

The fourth proportional to 762, 1,051.80 and 486 is: 670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    762 : 1,051.80 = 486 : x
  2. Step 2: Convert to fraction form
    762/1,051.80 = 486/x
  3. Step 3: Cross multiply
    762x = 1,051.80 × 486
  4. Step 4: Simplify right side
    762x = 511,174.80
  5. Step 5: Solve for x
    x = 511,174.80/762
  6. Step 6: Final answer
    x = 670.83

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