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Finding the Fourth Proportional to 1,538.23, 2,306.83 and 497.96

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Solution

The fourth proportional to 1,538.23, 2,306.83 and 497.96 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.23 : 2,306.83 = 497.96 : x
  2. Step 2: Convert to fraction form
    1,538.23/2,306.83 = 497.96/x
  3. Step 3: Cross multiply
    1,538.23x = 2,306.83 × 497.96
  4. Step 4: Simplify right side
    1,538.23x = 1,148,697.53
  5. Step 5: Solve for x
    x = 1,148,697.53/1,538.23
  6. Step 6: Final answer
    x = 746.77

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