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Finding the Fourth Proportional to 764.91, 1,146.85 and 354.13

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Solution

The fourth proportional to 764.91, 1,146.85 and 354.13 is: 530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.91 : 1,146.85 = 354.13 : x
  2. Step 2: Convert to fraction form
    764.91/1,146.85 = 354.13/x
  3. Step 3: Cross multiply
    764.91x = 1,146.85 × 354.13
  4. Step 4: Simplify right side
    764.91x = 406,130.24
  5. Step 5: Solve for x
    x = 406,130.24/764.91
  6. Step 6: Final answer
    x = 530.95

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