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Finding the Fourth Proportional to 1,232.03, 1,847.36 and 500.75

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Solution

The fourth proportional to 1,232.03, 1,847.36 and 500.75 is: 750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.03 : 1,847.36 = 500.75 : x
  2. Step 2: Convert to fraction form
    1,232.03/1,847.36 = 500.75/x
  3. Step 3: Cross multiply
    1,232.03x = 1,847.36 × 500.75
  4. Step 4: Simplify right side
    1,232.03x = 925,063.02
  5. Step 5: Solve for x
    x = 925,063.02/1,232.03
  6. Step 6: Final answer
    x = 750.84

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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.