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Finding the Fourth Proportional to 1,231.23, 1,847.39 and 500.68

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Solution

The fourth proportional to 1,231.23, 1,847.39 and 500.68 is: 751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.23 : 1,847.39 = 500.68 : x
  2. Step 2: Convert to fraction form
    1,231.23/1,847.39 = 500.68/x
  3. Step 3: Cross multiply
    1,231.23x = 1,847.39 × 500.68
  4. Step 4: Simplify right side
    1,231.23x = 924,944.10
  5. Step 5: Solve for x
    x = 924,944.10/1,231.23
  6. Step 6: Final answer
    x = 751.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.