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Finding the Fourth Proportional to 1,538.91, 2,308.70 and 499.01

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Solution

The fourth proportional to 1,538.91, 2,308.70 and 499.01 is: 748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.91 : 2,308.70 = 499.01 : x
  2. Step 2: Convert to fraction form
    1,538.91/2,308.70 = 499.01/x
  3. Step 3: Cross multiply
    1,538.91x = 2,308.70 × 499.01
  4. Step 4: Simplify right side
    1,538.91x = 1,152,061.89
  5. Step 5: Solve for x
    x = 1,152,061.89/1,538.91
  6. Step 6: Final answer
    x = 748.62

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