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Finding the Fourth Proportional to 1,231.77, 1,847.04 and 500.94

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Solution

The fourth proportional to 1,231.77, 1,847.04 and 500.94 is: 751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.77 : 1,847.04 = 500.94 : x
  2. Step 2: Convert to fraction form
    1,231.77/1,847.04 = 500.94/x
  3. Step 3: Cross multiply
    1,231.77x = 1,847.04 × 500.94
  4. Step 4: Simplify right side
    1,231.77x = 925,256.22
  5. Step 5: Solve for x
    x = 925,256.22/1,231.77
  6. Step 6: Final answer
    x = 751.16

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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.